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Popular >

xy^'+3y=x^2-1

Solution

x y^{^{'}} + 3 y = x^{2} - 1

Solution

y = \frac{x ^{2}}{5} - \frac{1}{3} + \frac{c _{1}}{x ^{3}}

Solution steps

x y^{'} (x) + 3 y = x^{2} - 1

Solve linear ODE:

y = \frac{x ^{2}}{5} - \frac{1}{3} + \frac{c _{1}}{x ^{3}}

y = \frac{x ^{2}}{5} - \frac{1}{3} + \frac{c _{1}}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for xy^'+3y=x^2-1 ?
The solution for xy^'+3y=x^2-1 is y=(x^2)/5-1/3+(c_{1})/(x^3)