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Popular >

x^{''}=t^{-4}

Solution

x^{^{''}} = t^{- 4}

Solution

x = \frac{1}{6 t ^{2}} + c_{1} t + c_{2}

Solution steps

x^{''} (t) = t^{- 4}

Solve

x^{''} (t) = t^{- 4} : x^{'} (t) = - \frac{1}{3 t ^{3}} + c_{1}

Solve

x^{'} (t) = - \frac{1}{3 t ^{3}} + c_{1} : x = \frac{1}{6 t ^{2}} + c_{1} t + c_{2}

x = \frac{1}{6 t ^{2}} + c_{1} t + c_{2}

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Frequently Asked Questions (FAQ)

What is the solution for x^{''}=t^{-4} ?
The solution for x^{''}=t^{-4} is x= 1/(6t^2)+c_{1}t+c_{2}