Question

a)
find all possible solutions of y''+y'-6y=12t

b) solve initial value problem of y''+y'-6y=12t, y(0)=1,
y'(0)=0

Answer #1

Solve the initial value problem 8(t+1)dy/dt - 6y = 12t
for t > -1 with y(0) = 7
7 =

Solve the initial value problem 8(t+1)dy/dt−6y=12t, for t>−1
with y(0)=11.

solve the initial value problem: y'''+y''-6y'=0 ; y(0)=1;
y'(0)=y''(0)=1

Solve the given initial-value problem.
y'' + 5y' −
6y =
12e2x, y(0)
= 1, y'(0) = 1

Solve the given initial-value problem.
y''' + 6y'' +
9y' = 0, y(0) = 0,
y'(0) = 1, y''(0) = −6

Solve the initial value problem y′′+6y′+9y=0, y(−1)=3,
y′(−1)=3.

solve the given initial value problem y''-5y'+6y=0, y(0)=3/5,
y'(0)=1

Solve the given symbolic initial value problem.
y''+6y'+13y = 2delta(t-pi) ; y(0)=3, y'(0)=1

Solve the following initial value problem. y(4) − 6y′′′ + 5y′′
= 2x, y(0) = 0, y′(0) = 0, y′′(0) = 0, y′′′(0) = 0.
(not using Laplace)

Solve the initial value problem 9(t+1) dy dt −6y=18t,
9(t+1)dydt−6y=18t, for t>−1 t>−1 with y(0)=14. y(0)=14. Find
the integrating factor, u(t)= u(t)= , and then find y(t)= y(t)=

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