(x-2)dy-(2y+3)dx=0

Lösung

(x - 2) d y - (2 y + 3) d x = 0

y = \frac{e ^{2 c_{1}} x ^{2}}{2} - 2 e^{2 c_{1}} x + 2 e^{2 c_{1}} - \frac{3}{2}

Schritte zur Lösung

(x - 2) d y - (2 y + 3) d x = 0

Solve separable ODE:

y = \frac{e ^{2 c_{1}} x ^{2}}{2} - 2 e^{2 c_{1}} x + 2 e^{2 c_{1}} - \frac{3}{2}

y = \frac{e ^{2 c_{1}} x ^{2}}{2} - 2 e^{2 c_{1}} x + 2 e^{2 c_{1}} - \frac{3}{2}

y^{^{'}} csc (t) = \frac{- y ^{7}}{6}

y^{^{'}} = \frac{ln ( x )}{x y ^{2}}

y^{^{'}} + 4 y = 5

y^{^{'}} + 2 y = - 8

\frac{d y}{d x} = - \frac{3}{5} x^{7} y^{3}