Question

Solve the initial value problem.

x'=x+2y

y'=7x+y

with inition contitions x(0)=2 and y(0)=4.

Answer #1

solve the given initial value problem
dx/dt=7x+y x(0)=1
dt/dt=-6x+2y y(0)=0
the solution is x(t)= and y(t)=

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

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

Solve the initial value problem.
d^2y/dx^2= -3 csc^2 x; y' (pi/4)=0; y(pi/2)=0
The solution is y=____.

Solve the initial value problem
x′=x+y
y′= 6x+ 2y+et,
x(0) = 0, y(0) = 0.

For the initial value problem
• Solve the initial value problem.
y' = 1/2−t+2y withy(0)=1

solve the initial value problem y''-2y'+5y=u(t-2) y(0)=0
y'(0)=0

Solve the following initial value problem.
y''-2y'+2y=4x+5. ; y(0)=3. and y'(0)=0

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