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Popular >

(dy)/(dx)=yx^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(dr)/(ds)=e^{r-2s},r(0)=0

\frac{d r}{d s} = e^{r - 2 s}, r (0) = 0

(xy+x)dx+(xy+y)dy=0

(x y + x) d x + (x y + y) d y = 0

y^'=((xy)^2)/8+y^2

y^{^{'}} = \frac{( x y ) ^{2}}{8} + y^{2}

(dx)/(dt)=75-x/(100)

\frac{d x}{d t} = 75 - \frac{x}{100}

(dy)/(dx)-(2x)/(sqrt(y))=0

\frac{d y}{d x} - \frac{2 x}{y} = 0

Frequently Asked Questions (FAQ)

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