What is the solution for (d^2y)/(dx^2)+((dy)/(dx))^2=0 ?

The solution for (d^2y)/(dx^2)+((dy)/(dx))^2=0 is y=ln(-x+c_{1})+c_{2}

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(d^2y)/(dx^2)+((dy)/(dx))^2=0

\frac{d ^{2} y}{d x ^{2}} + (\frac{d y}{d x})^{2} = 0

y = ln (- x + c_{1}) + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + (\frac{d y}{d x})^{2} = 0

Solve using substitution:

y = ln (- x + c_{1}) + c_{2}

y = ln (- x + c_{1}) + c_{2}

h (x) = x^{\frac{6}{5}}

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What is the solution for (d^2y)/(dx^2)+((dy)/(dx))^2=0 ?
The solution for (d^2y)/(dx^2)+((dy)/(dx))^2=0 is y=ln(-x+c_{1})+c_{2}