Question

Solve the initial value problem

x′=−3x−y,

y′= 13x+y,

x(0) = 0,

y(0) = 1.

Answer #1

Solve the initial-value problem.
(x2 + 1)
dy
dx
+ 3x(y − 1) = 0,
y(0) = 4

solve the initial value problem: 2x-3e^(3x)y-e^(3x)y'=0
y(0)=2

Solve the initial value problem y = 3x^2 − 2y, y(0) = 4

Solve the initial value problem y' = 3x^2 − 2y, y(0) = 4

Solve the following initial value problem.
y′′ − 9y′ + 20y = 3x +
e5x, y(0)
= 0, y′(0) = 2

Solve the initial value problem:
x'+3x=e^(-3t)*cos(t), x(0)=-1
x(t)=?

Solve the given initial-value problem. 5y'' + y' = −6x, y(0) =
0, y'(0) = −25
The answer I got is 155-155e^(-1/5)x-3x^2-30x

Solve the Initial Value Problem:
?x′ = 2y−x
y′ = 5x−y
Initial Conditions:
x(0)=2
y(0)=1

solve the following initial value problem x' = 2xy
y' = y -2t +1 x(0) = x0 y(0) =
y0

Solve the initial value problem.
y′ + y = sin (7x), y(0) = 1
y(x) = ?

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