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Beliebt Rechnen >

y^'-7y=sin(2x)

Lösung

y^{^{'}} - 7 y = sin (2 x)

Lösung

y = - \frac{2 cos ( 2 x )}{53} - \frac{7 sin ( 2 x )}{53} + c_{1} e^{7 x}

Schritte zur Lösung

y^{'} (x) - 7 y = sin (2 x)

Solve linear ODE:

y = - \frac{2 cos ( 2 x )}{53} - \frac{7 sin ( 2 x )}{53} + c_{1} e^{7 x}

y = - \frac{2 cos ( 2 x )}{53} - \frac{7 sin ( 2 x )}{53} + c_{1} e^{7 x}

Graph

Beliebte Beispiele

derivative y=1+x-4x^{1/2}

d er i v a t i v e y = 1 + x - 4 x^{\frac{1}{2}}

derivative arctan((1+x)/(1-x))

d er i v a t i v e arctan (\frac{1 + x}{1 - x})

2+(dy)/(dx)=sqrt(2x+y)

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

derivative of (inx/x)

\frac{d}{d x} (\frac{in x}{x})

limit as x approaches 8 of e^{3/((x-8))}

x \to 8 lim (e^{\frac{3}{( x - 8 )}})