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Popular >

x^2(dy)/(dx)+xy=3

Solution

x^{2} \frac{d y}{d x} + x y = 3

Solution

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x^{2} \frac{d y}{d x} + x y = 3

Solve linear ODE:

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Popular Examples

derivative of (1+cos(2x)^{-4})

\frac{d}{d x} ((1 + cos (2 x))^{- 4})

derivative of 1/((3+x^2))

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

integral of e^{6x+7}

\int e^{6 x + 7} d x

tangent of 3/(1+x^2)tangent of

\frac{3}{1 + x ^{2}}

tangent of xy-picos(y)=3pi,(2,pi)tangent of

x y - π cos (y) = 3 π, (2, π)

Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)+xy=3 ?
The solution for x^2(dy)/(dx)+xy=3 is y=(3ln(x))/x+(c_{1})/x