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Beliebt Rechnen >

(d^4+4d^2)y=x^2+1

Lösung

(d^{4} + 4 d^{2}) y = x^{2} + 1

Lösung

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + \frac{x ^{4}}{48} + \frac{x ^{2}}{16}

Schritte zur Lösung

(d^{4} + 4 d^{2}) y = x^{2} + 1

Solve linear ODE:

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + \frac{x ^{4}}{48} + \frac{x ^{2}}{16}

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + \frac{x ^{4}}{48} + \frac{x ^{2}}{16}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=2e^{-t},y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + y = 2 e^{- t}, y (0) = 1, y^{^{'}} (0) = 0

y^{''}-6y^'+9y=e^{3x}(x^2-4x+5)

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3 x} (x^{2} - 4 x + 5)

y^{''}+2y=e^t+2

y^{^{''}} + 2 y = e^{t} + 2

y^{''}-y^'-30y=2x+4

y^{^{''}} - y^{^{'}} - 30 y = 2 x + 4

x^{^{''}} + 4 x = 1