What is the solution for (y^{16})dy=((1+x))/x dx,y(1)=5 ?

The solution for (y^{16})dy=((1+x))/x dx,y(1)=5 is y=\sqrt[17]{17ln(x)+17x+c_{1}}

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(y^{16})dy=((1+x))/x dx,y(1)=5

(y^{16}) d y = \frac{( 1 + x )}{x} d x, y (1) = 5

y = 17 17 ln (x) + 17 x + c_{1}

Solution steps

(y^{16}) d y = \frac{( 1 + x )}{x} d x

Solve separable ODE:

y = 17 17 ln (x) + 17 x + c_{1}

y = 17 17 ln (x) + 17 x + c_{1}

\frac{( s ^{2} + s )}{2 s ^{2} + 2 s + 1}

f (x) = \frac{1}{( 3 x + 8 ) ^{2}}

\frac{d}{d x} (\frac{- x ^{2} + 2 x + 1}{( x ^{2} + 1 ) ^{2}})

\int cos (2 πn x) d x

n = 0 \sum \infty \frac{( x - 3 ) ^{n}}{n}

What is the solution for (y^{16})dy=((1+x))/x dx,y(1)=5 ?
The solution for (y^{16})dy=((1+x))/x dx,y(1)=5 is y=\sqrt[17]{17ln(x)+17x+c_{1}}