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Beliebt Rechnen >

(dz)/(dt)+9e^{8t+4z}=0

Lösung

\frac{d z}{d t} + 9 e^{8 t + 4 z} = 0

Lösung

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

Schritte zur Lösung

\frac{d z}{d t} + 9 e^{8 t + 4 z} = 0

Solve separable ODE:

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

Graph

Beliebte Beispiele

(dV)/(dt)=50-(7V)/(100)

\frac{d V}{d t} = 50 - \frac{7 V}{100}

7 y^{^{'}} + y = 0

f^'(x)=-1/(f(x)),f^{''}(x)=-f(x)

f^{^{'}} (x) = - \frac{1}{f ( x )}, f^{^{''}} (x) = - f (x)

derivative of (y^2)=y^2x

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

(dy}{dx}=\frac{x^3+1)/y ,y=2,x=1

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