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In: Advanced Math

Use the Laplace transform to solve the given initial value problem. y′′−12y′−13y=0; y(0)=5, y′(0)= 23 Enclose...

Use the Laplace transform to solve the given initial value problem.

y′′−12y′−13y=0; y(0)=5, y′(0)= 23

Enclose arguments of functions in parentheses. For example, sin(2x).

y=     

Differential Equations

Solutions

Expert Solution

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.

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take laplace

here we have y(0)=5, y′(0)= 23

take partial fraction

..................(1)

take s=13

take s=-1

put both constant in equation 1

take inverse laplace

Colby Messinger answered 2 years ago
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