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Popular Calculus >

(dx)/(dt)=7xt^4

Solution

\frac{d x}{d t} = 7 x t^{4}

Solution

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

Solution steps

\frac{d x}{d t} = 7 x t^{4}

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=7xt^4 ?
The solution for (dx)/(dt)=7xt^4 is x=e^{(7t^5)/5+c_{1}}