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Popular >

(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

Popular Examples

limit as x approaches 0+of cos^x(pi/2-x)

x \to 0 + lim (cos^{x} (\frac{π}{2} - x))

integral of 5cos(2x)

\int 5 cos (2 x) d x

integral of (37-11x)/((x+1)(x-2)(x-3))

\int \frac{37 - 11 x}{( x + 1 ) ( x - 2 ) ( x - 3 )} d x

y^{''}+3y^'=4x-5

y^{^{''}} + 3 y^{^{'}} = 4 x - 5

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

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

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}}