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

The solution for xy^'+3y=1984x^{1982} is y=(1984x^{1982})/(1985)+(c_{1})/(x^3)

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

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

y = \frac{1984 x ^{1982}}{1985} + \frac{c _{1}}{x ^{3}}

Solution steps

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

Solve linear ODE:

y = \frac{1984 x ^{1982}}{1985} + \frac{c _{1}}{x ^{3}}

y = \frac{1984 x ^{1982}}{1985} + \frac{c _{1}}{x ^{3}}

\int \frac{1}{[ ( a x ) ^{2} - b ^{2} ] ^{\frac{3}{2}}} d x

\frac{d}{d x} (7 x (x^{3} - 8 x + 5))

x \to 0 lim (\frac{e ^{x} - 1}{2 x})

y = \frac{2}{x}, (36, \frac{2}{6})

\frac{d}{d x} (- x + \frac{6}{x} + 1)

What is the solution for xy^'+3y=1984x^{1982} ?
The solution for xy^'+3y=1984x^{1982} is y=(1984x^{1982})/(1985)+(c_{1})/(x^3)