What is the solution for 5(ln(y))y^'-x^3y=0 ?

The solution for 5(ln(y))y^'-x^3y=0 is y=e^{sqrt((x^4+c_{1))/(10)}},y=e^{-sqrt((x^4+c_{1))/(10)}}

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5(ln(y))y^'-x^3y=0

5 (ln (y)) y^{^{'}} - x^{3} y = 0

y = e^{\frac{x ^{4} + c _{1}}{10}}, y = e^{- \frac{x ^{4} + c _{1}}{10}}

Solution steps

5 (ln (y)) y^{'} (x) - x^{3} y = 0

Solve separable ODE:

y = e^{\frac{x ^{4} + c _{1}}{10}}, y = e^{- \frac{x ^{4} + c _{1}}{10}}

y = e^{\frac{x ^{4} + c _{1}}{10}}, y = e^{- \frac{x ^{4} + c _{1}}{10}}

\int 8 tan (x) sec^{4} (x) d x

(tan (\frac{x}{2}))^{^{'}}

t \to 0 lim (t (ln (t)))

\int_{- 1}^{0} x 1 - x^{2} d x

\frac{d}{d x} (a (sin (x) - x cos (x)))

What is the solution for 5(ln(y))y^'-x^3y=0 ?
The solution for 5(ln(y))y^'-x^3y=0 is y=e^{sqrt((x^4+c_{1))/(10)}},y=e^{-sqrt((x^4+c_{1))/(10)}}