What is the solution for y^'-(5y)/x =3x^4,y(1)=5 ?

The solution for y^'-(5y)/x =3x^4,y(1)=5 is y=3ln(x)x^5+5x^5

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y^'-(5y)/x =3x^4,y(1)=5

y^{^{'}} - \frac{5 y}{x} = 3 x^{4}, y (1) = 5

y = 3 ln (x) x^{5} + 5 x^{5}

Solution steps

y^{'} (x) - \frac{5 y}{x} = 3 x^{4}

Solve linear ODE:

y = 3 ln (x) x^{5} + 5 x^{5}

y = 3 ln (x) x^{5} + 5 x^{5}

2 x \frac{d y}{d x} = (cos^{2} (y))

x \to 0 + lim (\frac{5}{1 + x})

\frac{3 z - sin ( z )}{- e ^{z}}

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

\int (- 5 sec^{2} (x)) d x

What is the solution for y^'-(5y)/x =3x^4,y(1)=5 ?
The solution for y^'-(5y)/x =3x^4,y(1)=5 is y=3ln(x)x^5+5x^5