en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'=y+2x^2y,y(1)=1

Solution

x y^{^{'}} = y + 2 x^{2} y, y (1) = 1

Solution

y = e^{x^{2} - 1} x

Solution steps

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

Solve separable ODE:

y = e^{x^{2} - 1} x

y = e^{x^{2} - 1} x

Popular Examples

derivative of g(x)=5tan(3x)derivative of

g (x) = 5 tan (3 x)

integral of xsin^2(8x)

\int x sin^{2} (8 x) d x

derivative of 1/(2x^2-3x-5)

\frac{d}{d x} (\frac{1}{2 x ^{2} - 3 x - 5})

integral of 3e^xsin(x)

\int 3 e^{x} sin (x) d x

derivative of 4(t)+|4(t)-1|derivative of

4 (t) + ∣ 4 (t) - 1 ∣

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y+2x^2y,y(1)=1 ?
The solution for xy^'=y+2x^2y,y(1)=1 is y=e^{x^2-1}x