en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

xy^'=2y+x^3

Solution

x y^{^{'}} = 2 y + x^{3}

Solution

y = x^{3} + c_{1} x^{2}

Solution steps

x y^{'} (x) = 2 y + x^{3}

Solve linear ODE:

y = x^{3} + c_{1} x^{2}

y = x^{3} + c_{1} x^{2}

Graph

Popular Examples

(\partial)/(\partial x)(k)

\frac{\partial}{\partial x} (k)

integral of 1/(ax^2+bx+c)

\int \frac{1}{a x ^{2} + b x + c} d x

y^'-((2x)/(1+x^2))y=0,y(0)=4

y^{^{'}} - (\frac{2 x}{1 + x ^{2}}) y = 0, y (0) = 4

derivative of (t^2-t)(t^2+t)

d er i v a t i v e (t^{2} - t) (t^{2} + t)

(\partial)/(\partial y)(e^{3xy})

\frac{\partial}{\partial y} (e^{3 x y})

Frequently Asked Questions (FAQ)

What is the solution for xy^'=2y+x^3 ?
The solution for xy^'=2y+x^3 is y=x^3+c_{1}x^2