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Popular >

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

Solution

\frac{d y}{d x} = (x^{2} y)

Solution

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

Solution steps

\frac{d y}{d x} = (x^{2} y)

Solve separable ODE:

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

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

Graph

Popular Examples

(dy)/(dx)=((5x^6))/(y^2),y(0)=1

\frac{d y}{d x} = \frac{( 5 x ^{6} )}{y ^{2}}, y (0) = 1

e^{x^2}(dy)/(dx)+e^{x^2}2xy=e^{x^2}2x

e^{x^{2}} \frac{d y}{d x} + e^{x^{2}} 2 x y = e^{x^{2}} 2 x

y^'=-2*t*y^2,y(0)=1

y^{^{'}} = - 2 \cdot t \cdot y^{2}, y (0) = 1

x^{\frac{1}{3}} y^{^{'}} + y = 0

y^'=xy^3*(1+x^2)^{((-1)/2)}

y^{^{'}} = x y^{3} \cdot (1 + x^{2})^{(\frac{- 1}{2})}

Frequently Asked Questions (FAQ)

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