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Popular Calculus >

(dy)/(dx)-3y= y/x

Solution

\frac{d y}{d x} - 3 y = \frac{y}{x}

Solution

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

Solution steps

\frac{d y}{d x} - 3 y = \frac{y}{x}

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of (x-y^{10})

\frac{d}{d x} ((x - y)^{10})

integral of (x^2+5)e^{2x}

\int (x^{2} + 5) e^{2 x} d x

limit as x approaches 8-of x^2+5

x \to 8 - lim (x^{2} + 5)

d/(d{x)}({x}^2e^{{y}{z}})

\frac{d}{d x} (x^{2} e^{y z})

(dx)/(dt)=2tcos^2(x)

\frac{d x}{d t} = 2 t cos^{2} (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-3y= y/x ?
The solution for (dy)/(dx)-3y= y/x is y=e^{3x+c_{1}}x