en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(xdy)/(dx)-y=7x^6y

Solution

\frac{x d y}{d x} - y = 7 x^{6} y

Solution

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

Solution steps

\frac{x d y}{d x} - y = 7 x^{6} y

Solve separable ODE:

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

y = e^{\frac{7 x ^{6}}{6} + c_{1}} x

Graph

Popular Examples

(dy)/(dx)=(sqrt(y))/(2x+1),y(0)=4

\frac{d y}{d x} = \frac{y}{2 x + 1}, y (0) = 4

(dy)/(dt)=2k(y+2)

\frac{d y}{d t} = 2 k (y + 2)

3y^2(dy)/(dx)-tan(x)=0,y=2,x=0

3 y^{2} \frac{d y}{d x} - tan (x) = 0, y = 2, x = 0

y^'=(8sin(x))/(sin(y)),y(0)= pi/2

y^{^{'}} = \frac{8 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

(dr)/(dq)=(50-4q)e^{r/5}

\frac{d r}{d q} = (50 - 4 q) e^{\frac{r}{5}}

Frequently Asked Questions (FAQ)

What is the solution for (xdy)/(dx)-y=7x^6y ?
The solution for (xdy)/(dx)-y=7x^6y is y=e^{(7x^6)/6+c_{1}}x