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Popular Calculus >

x(dy)/(dx)+y=3xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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