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Beliebt Rechnen >

(dz)/(dt)+e^{2t+2z}=0

Lösung

\frac{d z}{d t} + e^{2 t + 2 z} = 0

Lösung

z = - \frac{ln ( e ^{2 t} - c _{1} )}{2}

Schritte zur Lösung

\frac{d z}{d t} + e^{2 t + 2 z} = 0

Solve separable ODE:

z = - \frac{ln ( e ^{2 t} - c _{1} )}{2}

z = - \frac{ln ( e ^{2 t} - c _{1} )}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=4x^6sqrt(y)

\frac{d y}{d x} = 4 x^{6} y

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

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

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

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

(dx}{dy}=\frac{1+x^2)/y

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

cos(y)(dy)/(dx)=(-xsin(y))/(1+x^2)

cos (y) \frac{d y}{d x} = \frac{- x sin ( y )}{1 + x ^{2}}