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Beliebt Rechnen >

(dy)/(dt)+tan(t)y=3sin(t),y(0)=1

Lösung

\frac{d y}{d t} + tan (t) y = 3 sin (t), y (0) = 1

Lösung

y = - \frac{3 ln ( cos ( t ) )}{sec ( t )} + \frac{1}{sec ( t )}

Schritte zur Lösung

\frac{d y}{d t} + tan (t) y = 3 sin (t)

Solve linear ODE:

y = - \frac{3 ln ( cos ( t ) )}{sec ( t )} + \frac{1}{sec ( t )}

y = - \frac{3 ln ( cos ( t ) )}{sec ( t )} + \frac{1}{sec ( t )}

Graph

Beliebte Beispiele

(dy)/(dx)=(3x^2)/(y(1-x^3))

\frac{d y}{d x} = \frac{3 x ^{2}}{y ( 1 - x ^{3} )}

derivative of-32cos(8x)

\frac{d}{d x} (- 32 cos (8 x))

derivative of (2x+9/(2x))

\frac{d}{d x} (\frac{2 x + 9}{2 x})

derivative f(x)=x^2+x-2

d er i v a t i v e f (x) = x^{2} + x - 2

derivative of (cos(x)/(ln(x)))

\frac{d}{d x} (\frac{cos ( x )}{ln ( x )})