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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}}

Popular Examples

derivative of (4x-4sqrt(1+x)/(x^2-1))

\frac{d}{d x} (\frac{4 x - 4 1 + x}{x ^{2} - 1})

tangent of y=6cos(x)+3sin(2x)tangent of

y = 6 cos (x) + 3 sin (2 x)

derivative of (8x^2+8x+2/(sqrt(x)))

\frac{d}{d x} (\frac{8 x ^{2} + 8 x + 2}{x})

integral of 4/(x^2sqrt(16-x^2))

\int \frac{4}{x ^{2} 16 - x ^{2}} d x

tangent of (x+2)^2+(y-3)^2=37,(4,4)tangent of

(x + 2)^{2} + (y - 3)^{2} = 37, (4, 4)

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}}