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Beliebt Rechnen >

ye^{2x}-(1+e^{2x})(dy)/(dx)=0

Lösung

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

Lösung

y = c_{1} 1 + e^{2 x}

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} 1 + e^{2 x}

y = c_{1} 1 + e^{2 x}

Graph

Beliebte Beispiele

(dy)/(dx)+ycos(x)=8cos(x)

\frac{d y}{d x} + y cos (x) = 8 cos (x)

y^'=y-(1/1000)y^2

y^{^{'}} = y - (\frac{1}{1000}) y^{2}

(dy)/(dx)=cos^2(x)cos^2(2y)

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

y^'= x/y ,y(0)=0

y^{^{'}} = \frac{x}{y}, y (0) = 0

y^'=(7x^2-1)/(7+5y)

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 5 y}