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Beliebt Rechnen >

(d^3-d^2-6d)y=x^2+1

Lösung

(d^{3} - d^{2} - 6 d) y = x^{2} + 1

Lösung

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{3 x} - \frac{x ^{3}}{18} + \frac{x ^{2}}{36} - \frac{25 x}{108}

Schritte zur Lösung

(d^{3} - d^{2} - 6 d) y = x^{2} + 1

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{3 x} - \frac{x ^{3}}{18} + \frac{x ^{2}}{36} - \frac{25 x}{108}

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{3 x} - \frac{x ^{3}}{18} + \frac{x ^{2}}{36} - \frac{25 x}{108}

Graph

Beliebte Beispiele

(d^2+1)*y=e^{-x}+cos(x)+x^3+e^x*cos(x)

(d^{2} + 1) \cdot y = e^{- x} + cos (x) + x^{3} + e^{x} \cdot cos (x)

4y^{''}+4y=2sec(t/2)

4 y^{^{''}} + 4 y = 2 sec (\frac{t}{2})

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

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

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

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

y^{''}+2y^'+y=x^2+3x

y^{^{''}} + 2 y^{^{'}} + y = x^{2} + 3 x