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Popular >

(xdy)/(dx)+2y=3

Solution

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

Solution

y = - \frac{c _{1}}{2 x ^{2}} + \frac{3}{2}

Solution steps

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

Solve separable ODE:

y = - \frac{c _{1}}{2 x ^{2}} + \frac{3}{2}

y = - \frac{c _{1}}{2 x ^{2}} + \frac{3}{2}

Popular Examples

y^{''}+3y^'=2t^4+t^2e^{-3t}+sin(3t)

y^{^{''}} + 3 y^{^{'}} = 2 t^{4} + t^{2} e^{- 3 t} + sin (3 t)

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

sum from n=1 to infinity of 1/(n^{2/3)}

n = 1 \sum \infty \frac{1}{n ^{\frac{2}{3}}}

integral of 6^{(x-2)}

\int 6^{(x - 2)} d x

integral of 1/(sqrt(5-x^2-4x))

\int \frac{1}{5 - x ^{2} - 4 x} d x

Frequently Asked Questions (FAQ)

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