Solve the following initial value problem. y′′ − 10y′ + 24y = 5x + e^(4x), y(0) ...

Solve the following initial value problem. y′′ − 10y′ + 24y = 5x + e^(4x), y(0) = 0, y′(0) = 4

(not using Laplace)

Expert Solution

milcah answered 2 years ago

1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)=...

1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)= 1 and y'(0)= 2 c.) y"+14y'+49y=0, y(0)= -1 and y'(0)= 9 2. Find a two-parameter family of solutions to the following differential equations a.) y"-3y'-10y=14e^-2x b.) y"-6y'+25y=0

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