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Beliebt Rechnen >

x^'=-x+sin(t)

Lösung

x^{^{'}} = - x + sin (t)

Lösung

x = - \frac{cos ( t )}{2} + \frac{sin ( t )}{2} + \frac{c _{1}}{e ^{t}}

Schritte zur Lösung

x^{'} (t) = - x + sin (t)

Solve linear ODE:

x = - \frac{cos ( t )}{2} + \frac{sin ( t )}{2} + \frac{c _{1}}{e ^{t}}

x = - \frac{cos ( t )}{2} + \frac{sin ( t )}{2} + \frac{c _{1}}{e ^{t}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)((3x^5-7)/(4x))

\frac{\partial}{\partial x} (\frac{3 x ^{5} - 7}{4 x})

limit as x approaches 8 of 1/((x-8)^2)

x \to 8 lim (\frac{1}{( x - 8 ) ^{2}})

csc(y)dx+sec(x)dy=0

csc (y) d x + sec (x) d y = 0

derivative of 10-x^2

\frac{d}{d x} (10 - x^{2})

steigung y=x^3-9x

s l o p e y = x^{3} - 9 x