ydx-xdy=2dy,y(1)=3

Lösung

y d x - x d y = 2 d y, y (1) = 3

y = e^{c_{1}} x + 2 e^{c_{1}}

Schritte zur Lösung

y d x - x d y = 2 d y

Solve separable ODE:

y = e^{c_{1}} x + 2 e^{c_{1}}

y = e^{c_{1}} x + 2 e^{c_{1}}

(2 x + 1) \frac{d y}{d x} = 2 x y

\frac{d y}{d t} = y - 3

\frac{d y}{d x} = \frac{2 ^{3} + 1}{y}, y = 2, x = 2 y, x = 1

(\frac{x + x}{y}) d x - d y = 0

f^{^{'}} (x) = - 5 f (x)