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Popular Calculus >

x^2(dy)/(dx)+xy=3

Solution

x^{2} \frac{d y}{d x} + x y = 3

Solution

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x^{2} \frac{d y}{d x} + x y = 3

Solve linear ODE:

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)+xy=3 ?
The solution for x^2(dy)/(dx)+xy=3 is y=(3ln(x))/x+(c_{1})/x