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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'= 2/3 xsqrt(1-9y^2),y(0)=0

y^{^{'}} = \frac{2}{3} x 1 - 9 y^{2}, y (0) = 0

(x + 1) y^{^{'}} - 3 y = 0

y^'=3x^2y^2,y(-1)=a,y(0)=1

y^{^{'}} = 3 x^{2} y^{2}, y (- 1) = a, y (0) = 1

(dy)/(dx)=(xy-4x+y-4)/(xy-6x-3y+18)

\frac{d y}{d x} = \frac{x y - 4 x + y - 4}{x y - 6 x - 3 y + 18}

(dy)/(dx)=x^2(y-2),y(0)=4

\frac{d y}{d x} = x^{2} (y - 2), y (0) = 4