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Popular Calculus >

(dy)/(dx)=-10x^4y

Solution

\frac{d y}{d x} = - 10 x^{4} y

Solution

y = e^{- 2 x^{5} + c_{1}}

Solution steps

\frac{d y}{d x} = - 10 x^{4} y

Solve separable ODE:

y = e^{- 2 x^{5} + c_{1}}

y = e^{- 2 x^{5} + c_{1}}

Graph

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y^{^{''}} + 4 y^{^{'}} + 4 = 0, y^{^{'}} (0) = 1

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-10x^4y ?
The solution for (dy)/(dx)=-10x^4y is y=e^{-2x^5+c_{1}}