(dy)/(dx)+2/x y= 3/x

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

\frac{d y}{d t} - 2 t \cdot y = t

\frac{d y}{d t} = 2 y t, y (1) = 7

e^{- y} d x + (1 + x^{2}) d y = 0

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