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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve

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

Solve

f^{'} (x) = ln (x) + c_{1} : f (x) = x (ln (x) + c_{1}) - x + c_{2}

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

Graph

Popular Examples

y^{''}-4y^'+20y=0,y(0)=-1,y^'(0)=-3

y^{^{''}} - 4 y^{^{'}} + 20 y = 0, y (0) = - 1, y^{^{'}} (0) = - 3

integral from 10 to 20 of (10)/(x^2)

\int_{10}^{20} \frac{10}{x ^{2}} d x

integral of 4x^2(4x^3-x^2)^6

\int 4 x^{2} (4 x^{3} - x^{2})^{6} d x

y^{''}+y^'-6y=te^{2t}

y^{^{''}} + y^{^{'}} - 6 y = t e^{2 t}

(\partial)/(\partial x)(1+2/y)

\frac{\partial}{\partial x} (1 + \frac{2}{y})

Frequently Asked Questions (FAQ)

What is the solution for f^{''}(x)= 1/x ?
The solution for f^{''}(x)= 1/x is f(x)=x(ln(x)+c_{1})-x+c_{2}