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Beliebt Rechnen >

(dy)/(dx)=e^{5x-5y}

Lösung

\frac{d y}{d x} = e^{5 x - 5 y}

Lösung

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

Schritte zur Lösung

\frac{d y}{d x} = e^{5 x - 5 y}

Solve separable ODE:

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

Graph

Beliebte Beispiele

y^{^{'}} = x + 2 x y

3x^2y^2dx+2x^3ydy=0,y(1)=2

3 x^{2} y^{2} d x + 2 x^{3} y d y = 0, y (1) = 2

((dv)/(dt)+kv(t))e^{kt}=ge^{kt}

(\frac{d v}{d t} + k v (t)) e^{k t} = g e^{k t}

y^'(t)=(1+y)(3-y),y(0)=4

y^{^{'}} (t) = (1 + y) (3 - y), y (0) = 4

(dy)/(dx)=0.04-y/(4320/7)

\frac{d y}{d x} = 0.04 - \frac{y}{\frac{4320}{7}}