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Popular >

(dy)/(dx)=y*x^2

Solution

\frac{d y}{d x} = y \cdot x^{2}

Solution

y = e^{\frac{x ^{3}}{3} + c_{1}}

Solution steps

\frac{d y}{d x} = y \cdot x^{2}

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + c_{1}}

y = e^{\frac{x ^{3}}{3} + c_{1}}

Popular Examples

yy^'=e^{x+2y}sin(x)

y y^{^{'}} = e^{x + 2 y} sin (x)

y^{^{'}} = - 2 - y

xcos(x)=(2y+e^{3y})y^'(x),y(0)=0

x cos (x) = (2 y + e^{3 y}) y^{^{'}} (x), y (0) = 0

(dy)/(dx)+9xy=4x,y(0)=5

\frac{d y}{d x} + 9 x y = 4 x, y (0) = 5

(dy)/(dx)y=(sin^2(pi-x))

\frac{d y}{d x} y = (sin^{2} (π - x))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y*x^2 ?
The solution for (dy)/(dx)=y*x^2 is y=e^{(x^3)/3+c_{1}}