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Popular Calculus >

x^{''}+5x^'=7

Solution

x^{^{''}} + 5 x^{^{'}} = 7

Solution

x = c_{1} + c_{2} e^{- 5 t} + \frac{7 t}{5}

Solution steps

x^{''} (t) + 5 x^{'} (t) = 7

Solve linear ODE:

x = c_{1} + c_{2} e^{- 5 t} + \frac{7 t}{5}

x = c_{1} + c_{2} e^{- 5 t} + \frac{7 t}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for x^{''}+5x^'=7 ?
The solution for x^{''}+5x^'=7 is x=c_{1}+c_{2}e^{-5t}+(7t)/5