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Popular >

y^'=8x^3y

Solution

y^{^{'}} = 8 x^{3} y

Solution

y = e^{2 x^{4} + c_{1}}

Solution steps

y^{'} (x) = 8 x^{3} y

Solve separable ODE:

y = e^{2 x^{4} + c_{1}}

y = e^{2 x^{4} + c_{1}}

Popular Examples

(dy)/(dx)=(x^9)/(y^6)

\frac{d y}{d x} = \frac{x ^{9}}{y ^{6}}

(dy)/(dx)=-x/y ,y(0)=4

\frac{d y}{d x} = - \frac{x}{y}, y (0) = 4

y^{^{'}} = 2 y, y (0) = 5

(dy)/(dx)=(y(5x-2))/(x(1-3y))

\frac{d y}{d x} = \frac{y ( 5 x - 2 )}{x ( 1 - 3 y )}

(dy)/(dx)=e^{3x-4y}

\frac{d y}{d x} = e^{3 x - 4 y}

Frequently Asked Questions (FAQ)

What is the solution for y^'=8x^3y ?
The solution for y^'=8x^3y is y=e^{2x^4+c_{1}}