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Popular >

x^2y^'+xy=9

Solution

x^{2} y^{^{'}} + x y = 9

Solution

y = \frac{9 ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x^{2} y^{'} (x) + x y = 9

Solve linear ODE:

y = \frac{9 ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{9 ln ( x )}{x} + \frac{c _{1}}{x}

Popular Examples

derivative of ln(x(x-1))

\frac{d}{d x} (ln (x) (x - 1))

implicit (dy)/(dx),5cos(8x)sin(5y)=8 implicit derivative

\frac{d y}{d x}, 5 cos (8 x) sin (5 y) = 8

y^{^{''}} = 12 t - 2

derivative of (6x^2+3x+7)/(sqrt(x))derivative of

\frac{6 x ^{2} + 3 x + 7}{x}

y^'=0.0011y*(2900-y)

y^{^{'}} = 0.0011 y \cdot (2900 - y)

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'+xy=9 ?
The solution for x^2y^'+xy=9 is y=(9ln(x))/x+(c_{1})/x