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Popular Calculus >

y^{''}=8t^2

Solution

y^{^{''}} = 8 t^{2}

Solution

y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

Solution steps

y^{''} (t) = 8 t^{2}

Solve

y^{''} (t) = 8 t^{2} : y^{'} (t) = \frac{8 t ^{3}}{3} + c_{1}

Solve

y^{'} (t) = \frac{8 t ^{3}}{3} + c_{1} : y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

y = \frac{2 t ^{4}}{3} + c_{1} t + c_{2}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^{''}=8t^2 ?
The solution for y^{''}=8t^2 is y=(2t^4)/3+c_{1}t+c_{2}