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Beliebt Rechnen >

y^{'''}+y^'=cos(x)

Lösung

y^{^{'''}} + y^{^{'}} = cos (x)

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x cos ( x )}{2}

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = cos (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x cos ( x )}{2}

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) - \frac{x cos ( x )}{2}

Graph

Beliebte Beispiele

y^{''}+6y^'=1-3x+x^2

y^{^{''}} + 6 y^{^{'}} = 1 - 3 x + x^{2}

x^{''}+8x^'+16x=8sin(4t)

x^{^{''}} + 8 x^{^{'}} + 16 x = 8 sin (4 t)

y^{'''}+y^{''}=5x^2

y^{^{'''}} + y^{^{''}} = 5 x^{2}

y^{''}-4y^'+4y=t^3

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{3}

(d^2y)/(dx^2)-6(dy)/(dx)+9y=(x+1)e^x

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = (x + 1) e^{x}