What is the solution for f^{''}(x)=x^{1/14} ?

The solution for f^{''}(x)=x^{1/14} is f(x)= 196/435 x^{29/14}+c_{1}x+c_{2}

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f^{''}(x)=x^{1/14}

f^{^{''}} (x) = x^{\frac{1}{14}}

f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}

Solution steps

f^{''} (x) = x^{\frac{1}{14}}

Solve

f^{''} (x) = x^{\frac{1}{14}} : f^{'} (x) = \frac{14}{15} x^{\frac{15}{14}} + c_{1}

Solve

f^{'} (x) = \frac{14}{15} x^{\frac{15}{14}} + c_{1} : f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}

f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}

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What is the solution for f^{''}(x)=x^{1/14} ?
The solution for f^{''}(x)=x^{1/14} is f(x)= 196/435 x^{29/14}+c_{1}x+c_{2}