en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=x^2*y

Solution

y^{^{'}} = x^{2} \cdot y

Solution

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

Solution steps

y^{'} (x) = x^{2} \cdot y

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 2+of 5

x \to 2 + lim (5)

integral of (8x^2-13x+2)/(x^3-3x^2+2x)

\int \frac{8 x ^{2} - 13 x + 2}{x ^{3} - 3 x ^{2} + 2 x} d x

integral of (sin^7(8x))/(cos^4(8x))

\int \frac{sin ^{7} ( 8 x )}{cos ^{4} ( 8 x )} d x

(\partial)/(\partial x)(ln(x^6+y^3))

\frac{\partial}{\partial x} (ln (x^{6} + y^{3}))

taylor sin(x) pi/4 taylor

sin (x) \frac{π}{4}

Frequently Asked Questions (FAQ)

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