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Popular >

x^2y^'+xy=7

Solution

x^{2} y^{^{'}} + x y = 7

Solution

y = \frac{7 ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x^{2} y^{'} (x) + x y = 7

Solve linear ODE:

y = \frac{7 ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{7 ln ( x )}{x} + \frac{c _{1}}{x}

Popular Examples

limit as x approaches 1+of x^2+2x

x \to 1 + lim (x^{2} + 2 x)

limit as x approaches 0 of ((sin(6x)))/x

x \to 0 lim (\frac{( sin ( 6 x ) )}{x})

integral of (sqrt(x^2+9))/x

\int \frac{x ^{2} + 9}{x} d x

derivative of 1/9 (x^2+6^{3/2})

\frac{d}{d x} (\frac{1}{9} (x^{2} + 6)^{\frac{3}{2}})

y^{^{'}} + \frac{1}{x} y = 9 x^{2}

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'+xy=7 ?
The solution for x^2y^'+xy=7 is y=(7ln(x))/x+(c_{1})/x