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Beliebt Rechnen >

(dy)/(dx)=e^{x+2y},y(0)= 1/2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} + 5 y = 9

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

(dy)/(dx)=-5/7 x^4y^6

\frac{d y}{d x} = - \frac{5}{7} x^{4} y^{6}

(dv)/(dt)=\sqrt[3]{v},v(0)=5.2

\frac{d v}{d t} = 3 v, v (0) = 5.2

(dy)/(dx)=(3x^2)/(e^y+1)

\frac{d y}{d x} = \frac{3 x ^{2}}{e ^{y} + 1}