(1-2y+x)(dy)/(dx)+y=2x-1

Lösung

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

y = - \frac{- 1 - x + - 3 x ^{2} + 6 x - c _{1} + 1}{2}, y = - \frac{- 1 - x - - 3 x ^{2} + 6 x - c _{1} + 1}{2}

Schritte zur Lösung

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

Solve exact ODE:

y = - \frac{- 1 - x + - 3 x ^{2} + 6 x - c _{1} + 1}{2}, y = - \frac{- 1 - x - - 3 x ^{2} + 6 x - c _{1} + 1}{2}

y = - \frac{- 1 - x + - 3 x ^{2} + 6 x - c _{1} + 1}{2}, y = - \frac{- 1 - x - - 3 x ^{2} + 6 x - c _{1} + 1}{2}

\int sin (1 - 2 x) cos (1 + 2 x) d x

\frac{d}{d x} ((8 x^{2} - 5 x) (13 x^{2} + 4))

\frac{\partial}{\partial x} (c e^{- x} sin (4 x))

\int 3 t e^{t} d t

\int \frac{x ^{2}}{x ^{3} + 3} d x