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Popular >

x^2y^{''}+3xy^'=0

Solution

x^{2} y^{^{''}} + 3 x y^{^{'}} = 0

Solution

y = c_{1} + \frac{c _{2}}{x ^{2}}

Solution steps

x^{2} y^{''} (x) + 3 x y^{'} (x) = 0

Solve linear ODE:

y = c_{1} + \frac{c _{2}}{x ^{2}}

y = c_{1} + \frac{c _{2}}{x ^{2}}

Popular Examples

t*(dy)/(dt)+34y= 1/t

t \cdot \frac{d y}{d t} + 34 y = \frac{1}{t}

v+tv^'=((4+v))/((4v-1))

v + t v^{^{'}} = \frac{( 4 + v )}{( 4 v - 1 )}

y^{^{'}} = 7 x - y

derivative of f(x)=3x^5(x^3-2x)derivative of

f (x) = 3 x^{5} (x^{3} - 2 x)

integral of 3/(2sqrt(9-x^2))

\int \frac{3}{2 9 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for x^2y^{''}+3xy^'=0 ?
The solution for x^2y^{''}+3xy^'=0 is y=c_{1}+(c_{2})/(x^2)