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Popular >

x^2y^{''}+xy^'=0

Solution

x^{2} y^{^{''}} + x y^{^{'}} = 0

Solution

y = c_{1} + c_{2} ln (x)

Solution steps

x^{2} y^{''} (x) + x y^{'} (x) = 0

Solve linear ODE:

y = c_{1} + c_{2} ln (x)

y = c_{1} + c_{2} ln (x)

Popular Examples

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\frac{d}{d x} (3 x^{2} lo g_{3} (x))

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k \to 0 lim (\frac{x ^{2} k + 3 x k ^{2} + k ^{2}}{2 x k + 5 k ^{2}})

integral of sin^7(x/9)cos(x/9)

\int sin^{7} (\frac{x}{9}) cos (\frac{x}{9}) d x

integral of ln(3x+1)

\int ln (3 x + 1) d x

tangent of f(x)=x^3-7x^2 tangent of

f (x) = x^{3} - 7 x^{2}

Frequently Asked Questions (FAQ)

What is the solution for x^2y^{''}+xy^'=0 ?
The solution for x^2y^{''}+xy^'=0 is y=c_{1}+c_{2}ln(x)