3(dy)/(dx)-y=12e^{-5}

Lösung

3 \frac{d y}{d x} - y = 12 e^{- 5}

y = e^{\frac{x + c _{1} - 15}{3}} - \frac{12}{e ^{5}}

Schritte zur Lösung

3 \frac{d y}{d x} - y = 12 e^{- 5}

Solve separable ODE:

y = e^{\frac{x + c _{1} - 15}{3}} - \frac{12}{e ^{5}}

y = e^{\frac{x + c _{1} - 15}{3}} - \frac{12}{e ^{5}}

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

y^{^{'}} = \frac{y ^{2}}{3 x}

\frac{d y}{d x} = \frac{8 ( 1 + x )}{x y}

d y = e^{3 x + 2 y} d x

y^{^{'}} = e^{l n (x) - y + 2}