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Beliebt Rechnen >

(dy)/(dt)*1/4+y=cos(t)

Lösung

\frac{d y}{d t} \cdot \frac{1}{4} + y = cos (t)

Lösung

y = \frac{4 ( sin ( t ) + 4 cos ( t ) )}{17} + \frac{c _{1}}{e ^{4 t}}

Schritte zur Lösung

\frac{d y}{d t} \cdot \frac{1}{4} + y = cos (t)

Solve linear ODE:

y = \frac{4 ( sin ( t ) + 4 cos ( t ) )}{17} + \frac{c _{1}}{e ^{4 t}}

y = \frac{4 ( sin ( t ) + 4 cos ( t ) )}{17} + \frac{c _{1}}{e ^{4 t}}

Graph

Beliebte Beispiele

integral of-1/3 e^{-3t}

\int - \frac{1}{3} e^{- 3 t} d t

derivative of 3x+e^x

\frac{d}{d x} (3 x + e^{x})

(\partial)/(\partial y)(sqrt(4-x^2-7y^2))

\frac{\partial}{\partial y} (4 - x^{2} - 7 y^{2})

2y^{''}+3y^'+y=t^2+2sin(t)

2 y^{^{''}} + 3 y^{^{'}} + y = t^{2} + 2 sin (t)

derivative of arcsin(2/x)

\frac{d}{d x} (arcsin (\frac{2}{x}))