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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

(dx)/(x^2y)+(dy)/(xy^2)=0

\frac{d x}{x ^{2} y} + \frac{d y}{x y ^{2}} = 0

y^'+y/3 =4,y(-1)=0

y^{^{'}} + \frac{y}{3} = 4, y (- 1) = 0

y^'=1-y,y(0)= 1/2

y^{^{'}} = 1 - y, y (0) = \frac{1}{2}

(x^2-14x+45)(dy)/(dx)=y

(x^{2} - 14 x + 45) \frac{d y}{d x} = y

(dy)/(dt)=([2t])/([y+yt^2])

\frac{d y}{d t} = \frac{[ 2 t ]}{[ y + y t ^{2} ]}

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}}