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Beliebt Rechnen >

(d^2-1)y=x^2+cos^2(x)

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} + \frac{2}{5} cos (2 x) - cos^{2} (x) - 2

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} + \frac{2}{5} cos (2 x) - cos^{2} (x) - 2

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} + \frac{2}{5} cos (2 x) - cos^{2} (x) - 2

Graph

Beliebte Beispiele

(d^2+d-6)y=e^2x*sin^3(x)

(d^{2} + d - 6) y = e^{2} x \cdot sin^{3} (x)

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

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

(d^2-4d+4)*y=x^3

(d^{2} - 4 d + 4) \cdot y = x^{3}

(d^3-25d)y=sin^2(x)cos^2(x)

(d^{3} - 25 d) y = sin^{2} (x) cos^{2} (x)

(d^3-3d-2)y=x^3

(d^{3} - 3 d - 2) y = x^{3}