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Beliebt Rechnen >

(d^2+1)y=xcos(x)

Lösung

(d^{2} + 1) \cdot y = x \cdot cos (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + \frac{x ^{2} sin ( x )}{4} + \frac{x cos ( x )}{4}

Schritte zur Lösung

(d^{2} + 1) y = x cos (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + \frac{x ^{2} sin ( x )}{4} + \frac{x cos ( x )}{4}

y = c_{1} cos (x) + c_{2} sin (x) + \frac{x ^{2} sin ( x )}{4} + \frac{x cos ( x )}{4}

Graph

Beliebte Beispiele

(d^2-4d+4)y=e^2x+sin^2(x)

(d^{2} - 4 d + 4) y = e^{2} x + sin^{2} (x)

(d^2-1)*y=x*sinh(x)

(d^{2} - 1) \cdot y = x \cdot sinh (x)

y^{^{''}} + y = 12 x

y^{''}+4y=2,e^xy(0)=2,y^'(0)=1

y^{^{''}} + 4 y = 2, e^{x} y (0) = 2, y^{^{'}} (0) = 1

(d^2-d-2)y=10cos(x)

(d^{2} - d - 2) y = 10 cos (x)