en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=9x^2y

Solution

y^{^{'}} = 9 x^{2} y

Solution

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

Solution steps

y^{'} (x) = 9 x^{2} y

Solve separable ODE:

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

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

Popular Examples

(dP)/(dt)=0.02P

\frac{d P}{d t} = 0.02 P

3(x+1)y^2y^'=ln(x+1),y(0)=2

3 (x + 1) y^{2} y^{^{'}} = ln (x + 1), y (0) = 2

(dy)/(dx)=((2x)y)/(1+x^2)

\frac{d y}{d x} = \frac{( 2 x ) y}{1 + x ^{2}}

(dy)/(dx)=(5x^4)/(3y^2e^{y^3)}

\frac{d y}{d x} = \frac{5 x ^{4}}{3 y ^{2} e ^{y^{3}}}

u^'=6e^{7x-\H(x)}

u^{^{'}} = 6 e^{7 x - H (x)}

Frequently Asked Questions (FAQ)

What is the solution for y^'=9x^2y ?
The solution for y^'=9x^2y is y=e^{3x^3+c_{1}}