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

Lösung

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

y = - 2 e^{- x} + 2

Schritte zur Lösung

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

Solve separable ODE:

y = - 2 e^{- x} + 2

y = - 2 e^{- x} + 2

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

\frac{d y}{d x} = y (4 x^{2} + 4)

d x = x^{6} y d y

y y^{^{'}} = x - y x

(y ln (x)) y^{^{'}} = \frac{y ^{2} + 1}{x}