What is the solution for xy^{''}+3y^'=1984(x^{19})^{82} ?

The solution for xy^{''}+3y^'=1984(x^{19})^{82} is y=c_{1}+(c_{2})/(x^2)+(1984x^{1559})/(2433599)

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xy^{''}+3y^'=1984(x^{19})^{82}

x y^{^{''}} + 3 y^{^{'}} = 1984 (x^{19})^{82}

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1559}}{2433599}

Solution steps

x y^{''} (x) + 3 y^{'} (x) = 1984 (x^{19})^{82}

Solve linear ODE:

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1559}}{2433599}

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1559}}{2433599}

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What is the solution for xy^{''}+3y^'=1984(x^{19})^{82} ?
The solution for xy^{''}+3y^'=1984(x^{19})^{82} is y=c_{1}+(c_{2})/(x^2)+(1984x^{1559})/(2433599)