(dy)/(dx)+2y=11,y(0)=1

Lösung

\frac{d y}{d x} + 2 y = 11, y (0) = 1

y = - \frac{9 e ^{- 2 x}}{2} + \frac{11}{2}

Schritte zur Lösung

\frac{d y}{d x} + 2 y = 11

Solve separable ODE:

y = - \frac{9 e ^{- 2 x}}{2} + \frac{11}{2}

y = - \frac{9 e ^{- 2 x}}{2} + \frac{11}{2}

y^{^{'}} + 3 y = 12

\frac{d y}{d x} = - 2 y + 3

x^{^{'}} = x (1 - x), x (0) = 10

x^{6} y^{^{'}} - 13 x^{5} y = 0

\frac{d v}{d t} = 80 - \frac{5}{100} v