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Popular >

y^'+1/x y= 1/(x^2)

Solution

y^{^{'}} + \frac{1}{x} y = \frac{1}{x ^{2}}

Solution

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

y^{'} (x) + \frac{1}{x} y = \frac{1}{x ^{2}}

Solve linear ODE:

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{ln ( x )}{x} + \frac{c _{1}}{x}

Popular Examples

taylor ln(3x-2)taylor

ln (3 x - 2)

integral of 3/(sqrt(x))

\int \frac{3}{x} d x

derivative of ln(sqrt((4x-4)/(5x+9)))derivative of

ln (\frac{4 x - 4}{5 x + 9})

x y^{^{'}} - 3 y = 6

(\partial)/(\partial x)(e^{x^2+2y})

\frac{\partial}{\partial x} (e^{x^{2} + 2 y})

Frequently Asked Questions (FAQ)

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