What is the solution for xy^{''}+3y^'=1984x^{1982} ?

The solution for xy^{''}+3y^'=1984x^{1982} is y=c_{1}+(c_{2})/(x^2)+(1984x^{1983})/(3936255)

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xy^{''}+3y^'=1984x^{1982}

x y^{^{''}} + 3 y^{^{'}} = 1984 x^{1982}

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1983}}{3936255}

Solution steps

x y^{''} (x) + 3 y^{'} (x) = 1984 x^{1982}

Solve linear ODE:

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1983}}{3936255}

y = c_{1} + \frac{c _{2}}{x ^{2}} + \frac{1984 x ^{1983}}{3936255}

\int \frac{2 e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

f (x) = 4 x^{2} cos (x) - 9 x

\frac{d}{d x} (700 x^{2} - 0.2 x)

\int \frac{5}{6} sec (x) tan (x) d x

y^{2} d x + 2 x y d y = 0

What is the solution for xy^{''}+3y^'=1984x^{1982} ?
The solution for xy^{''}+3y^'=1984x^{1982} is y=c_{1}+(c_{2})/(x^2)+(1984x^{1983})/(3936255)