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Popular Calculus >

xy^'-y=x^3

Solution

x y^{^{'}} - y = x^{3}

Solution

y = \frac{x ^{3}}{2} + c_{1} x

Solution steps

x y^{'} (x) - y = x^{3}

Solve linear ODE:

y = \frac{x ^{3}}{2} + c_{1} x

y = \frac{x ^{3}}{2} + c_{1} x

Graph

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x \to 0 lim (+ (e^{- \frac{1}{x}}))

Frequently Asked Questions (FAQ)

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