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Beliebt Rechnen >

(dy)/(dx)=(e^{7x+y})/(y-4)

Lösung

\frac{d y}{d x} = \frac{e ^{7 x + y}}{y - 4}

Lösung

y = - W ((\frac{1}{7} e^{7 x} + c_{1}) e^{3}) + 3

Schritte zur Lösung

\frac{d y}{d x} = \frac{e ^{7 x + y}}{y - 4}

Solve separable ODE:

y = - W ((\frac{1}{7} e^{7 x} + c_{1}) e^{3}) + 3

y = - W ((\frac{1}{7} e^{7 x} + c_{1}) e^{3}) + 3

Beliebte Beispiele

(dP)/(dt)= 1/20 (1-P/(1000))

\frac{d P}{d t} = \frac{1}{20} (1 - \frac{P}{1000})

(x+1)yy^'=y^2+1,y(1)=sqrt(3)

(x + 1) y y^{^{'}} = y^{2} + 1, y (1) = 3

sqrt(x)y^'=e^{8y+sqrt(x)}

x y^{^{'}} = e^{8 y + x}

y = 1 + y^{^{'}}

(dP)/(dt)=P(1-P/(1800))

\frac{d P}{d t} = P (1 - \frac{P}{1800})