e^xy^2y^'=3,y(0)=3

Lösung

e^{x} y^{2} y^{^{'}} = 3, y (0) = 3

y = 3 \frac{- 9 + 36 e ^{x}}{e ^{x}}

Schritte zur Lösung

e^{x} y^{2} y^{'} (x) = 3

Solve separable ODE:

y = 3 \frac{- 9 + 36 e ^{x}}{e ^{x}}

y = 3 \frac{- 9 + 36 e ^{x}}{e ^{x}}

x^{^{'}} = e^{- x} + 1

\frac{d y}{d x} y = (6 + sin (x))^{x}

\frac{d y}{d x} = k \cdot y

(1 + y) d y = y d x

x^{^{'}} + \frac{3}{200} x = 0.06