What is the solution for x(dy)/(dx)+3y=2x^5 ?

The solution for x(dy)/(dx)+3y=2x^5 is y=(x^5)/4+(c_{1})/(x^3)

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x(dy)/(dx)+3y=2x^5

x \frac{d y}{d x} + 3 y = 2 x^{5}

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

Solution steps

x \frac{d y}{d x} + 3 y = 2 x^{5}

Solve linear ODE:

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

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What is the solution for x(dy)/(dx)+3y=2x^5 ?
The solution for x(dy)/(dx)+3y=2x^5 is y=(x^5)/4+(c_{1})/(x^3)