Question

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

Answer #1

Use Laplace transforms to solve the given initial value
problem.
y"-2y'+5y=1+t y(0)=0 y’(0)=4

Please solve the listed initial value problem:
y'' + 3y' + 2y = 1 - u(t - 10); y(0) = 0, y'(0) = 0

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

For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t))
and solve initial value problem y(0) = -1/3

Solve the initial value problem below for the Cauchy-Euler
equation
t^2y"(t)+10ty'(t)+20y(t)=0, y(1)=0, y'(1)=2
y(t)=

Solve the initial value problem y''−y'−2y=0, y(0) = α, y'(0) =2.
Then ﬁnd α so that the solution approaches zero as t →∞

for the given initial value problem: (2-t)y' + 2y
=(2-t)3(ln(t)) ; y(1) = -2
solve the initial value problem

Consider the initial value problem
2y′′+11y′+5y=aδ(t−1),
y(0)=y′(0)=0 , where δ denotes the impulse
function. Suppose that the solution of this initial value problem
satisfies y(3)=(e^9−1)/e^10. Find the
value of a.

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

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

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