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Differential Equations
Page 3
Questions (803)
An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 105e^−0.02t liters per minute. How
4 answers
asked by
Parker
3,473 views
Find the solution t the differential equation
dz/dt = 2te^z that passes through the origin. My answer is -In (1-t^2), but my
4 answers
asked by
Latoya
2,180 views
Solve the initial value problem 2y" + 5y' - 3y = 0 y(0) =7, y'(0) = 7
Can someone please help. The answer I came up with is 35
4 answers
asked by
Latoya
1,441 views
1.Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1.
2.Solve the differential equation y
4 answers
asked by
Anonymous
4,197 views
these too
dy/dx-m2y=c1e^(m1x) where c1,m1,m2 are constants and m1≠m2 the number like m1 m2 c1 are inform of base but I don't
4 answers
asked by
matt
1,748 views
1. Find the domain for the particular solution to the differential equation dy/dx=3y/x, with initial condition y(1) = 1.
A. x > 0
5 answers
asked by
Justin
3,563 views
Verify that the formula u(t)=Acos(ωo*t+Φ) is a solution to the differential equation for the mass on a spring, by plugging
4 answers
asked by
Anonymous
3,085 views
Assuming P≥0, suppose that a population develops according to the logistic equation
dP/dt=0.03P−0.00015P^2 where tt is
4 answers
asked by
Regina
1,991 views
Find the function with derivative f′(x)=e^(9x) that passes through the point P=(0,4/9).
4 answers
asked by
Kid
2,661 views
The rate of change of the population of a small town is dP/dt=kP
Where P is the population, t is the time in years and k is the
4 answers
asked by
E
4,160 views
I have two problems I need help on, can someone show and explain step by step how to do the problems?
For #1, how would you
4 answers
asked by
Misa
2,380 views
Solve the separable differential equation 10x−6ysqrt(x^2+1)dy/dx=0. with the initial condition y(0)=4.
3 answers
asked by
Robin
1,935 views
solve the differential equations subject to the given conditions.
dy/dx= 4x^1/2 y=21 of x=4 is this derivative?!
4 answers
asked by
Anonymous
1,448 views
The rate of change in the number of miles s of road cleared per hour by a snowplow is inversely proportional to the depth h of
4 answers
asked by
Ray
2,093 views
The differential equation below models the temperature of a 87°C cup of coffee in a 17°C room, where it is known that the
4 answers
asked by
alex
6,667 views
Consider the differential equation: dy/dt=y/t^2
a) Show that the constant function y1(t)=0 is a solution. b)Show that there are
5 answers
asked by
Erica
3,140 views
how would i solve the differential equation
dx/dt=-kx^2 i.e. solve for x as a function of t. I've been told to rearrange the
4 answers
asked by
xX_Supaman_Xx
1,574 views
If dy/dx= sin^2(πy/4) and y=1 when x = 0, then find the value of x when y = 3.
a) 0 b) 8/π c) -π/8 d) None of these
5 answers
asked by
Alice
2,172 views
Solve: dA/dt = -10A, A(0) = 5
------------------ I tried getting A by itself: A = -1/10 * dA/dt A(0) = 5 = -1/10 * dA/dt but I'm
4 answers
asked by
James
2,938 views
Solve the differential equation dy/dx=3x^2y^2 with the condition that y(1)=4.
I know that y= -1/(x^3 + c) but what do I do with
4 answers
asked by
Ann
3,153 views
Verify that the function y(x)= x - (1/x) is a solution to the differential equation, xy'+ y= 2x
I have absolutely no clue what to
3 answers
asked by
Annoyed
2,007 views
The differential equation dy/dx = x/y^2
Possible answers: I. will have a slope field with negative slopes in quadrant I II. will
7 answers
asked by
Alice
4,078 views
1. Find the particular solution to y " = 2sin(x) given the general solution y = -2sin(x) + Ax + B and the initial conditions
2 answers
asked by
Tom
4,082 views
Solve the following differential equation with initial conditions:
y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0
4 answers
asked by
Pax
904 views
Find f if f''(x)=2+cos(x)
f(0)=5 f(pi/2)=−3
4 answers
asked by
cool
1,916 views
Write an expression for y = f(x) by solving the differential equation dy/dx = x√y with the initial condition f(3) = 25.
I got y
4 answers
asked by
Anonymous
1,918 views
The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9,
4 answers
asked by
Beth
4,422 views
The rate at which an amount of a radioactive substance decays is modeled by the differential equation dA/dt = kA, where A is the
4 answers
asked by
ronnieday
2,540 views
Form the differential equation of the family of straight line with slope and y- intercept equal
3 answers
asked by
Bilal
2,906 views
Find the orthogonal trajectories for the family of curves y=(kx)^6.
3 answers
asked by
TayB
1,030 views
Solve the separable differential equation: dy/dt=4y^6
and find the particular solution satisfying the initial condition y(0)=-3
3 answers
asked by
Carly
1,167 views
find an equation of the curve that satisfies dy/dx=4x^3y and whose y-intercept is 7
4 answers
asked by
matthew
2,510 views
I have a differential equation stating
solve: y'=(y-1)(y+1) when y(0)=3 I separated the dy/dx so I got dy/(y-1)(y+1) = dx took
4 answers
asked by
Maddie
588 views
what is the differential equation of (3x^2-2y^2)+(1-4xy)dy/dx=0
4 answers
asked by
shanel
1,544 views
Y'''+10y''+25y'=e^x
3 answers
asked by
juan
2,885 views
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t
5 answers
asked by
Bridget
1,827 views
verify that y=C1e^2x + C2e^-3 is a solution of the differential equation y''+y'-6y=0
3 answers
asked by
mari
619 views
Find a formula for the function f(x) such that f′(x)=cos(x)/x and f(2)=3.
4 answers
asked by
Jed
1,592 views
The particular solution of the differential equation dy/dt= 2y for which y(0) = 60 is
a) y= 60e^2t b) y= 60e^0.5t c) y= 59 + e^t
4 answers
asked by
Alice
3,038 views
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation dM dt equals negative 1 times
4 answers
asked by
Anonymous
4,287 views
Solve (ye^xy+1)dx+(xe^xy+2)dy=0,y(0)=0
4 answers
asked by
ijat
399 views
Consider the differential equation dy/dx=2y
(A) At the point (-1.5,1), the direction field has a slope of? (B) At the point
3 answers
asked anonymously
87 views
Find the function f(x) described by the given initial value problem.
f′(x)=6x,f(1)=0 6^x dx = 1/ln(6) * 6^x + C
4 answers
asked by
Ann
3,322 views
If dy/dx=cos^2(πy/4) and y=1 when x=0, then find the value of x when y=3
a) 1/8 b) -π/8 c) -8/π d) None of these
3 answers
asked by
Alice
2,101 views
Find general solution.
2ty dy/dt = 3y^2 - t^2
3 answers
asked by
George
868 views
Consider the differential equation dy/dx = x^4(y - 2). Find the particular solution y = f(x) to the given differential equation
3 answers
asked by
Anonymous
4,658 views
Find the general solution for the differential equation. Leave your solution in implicit form. dx/dt=(2-x)sqrt(1-x)
2 answers
asked by
Anonymous
920 views
Consider the differential equation,
dy/dx=(x+1)/y^2 with the initial condition y(0)=3. Write down the particular solution, and
4 answers
asked by
Yvonne
2,368 views
solve the initial value problem by separation of variables 8. dy/dx=x+1/xy, x>0, y(1)=-4
3 answers
asked by
mike
1,240 views
Part 1) Find the general solution of the differential equation dy/dx + 4xy^6 = 0
Option 1) . y(x) = �(A + 10x^2)^-1/5 Option 2)
3 answers
asked by
milli
438 views
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Algebra
Algebraic Equations
Atmospheric pressure
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