Question

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

Answer #1

Hope you understand this easily and like my method also.

Thank you. ☺️

Solve the given initial-value problem.
y'' + 5y' −
6y =
12e2x, y(0)
= 1, 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 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. 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 y''+5y'+6y=0, y(0)=1,
y′(0)=−1,
using Laplace transforms. When writing your answer limit
yourself to showing:
(i) The equation for L(y);
(ii) The partial fraction decomposition;
(iii) The antitransforms that finish the problem.

Find the solution of the initial value problem y′′+5y′+6y=0,
y(0)=11 and y′(0)=-25

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

Use the method of Laplace transforms to solve the following
initial value problem. y'' + 6y' + 5y = 12e^t ; y(0) = −1, y'(0) =
7

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

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