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Beliebt Rechnen >

(d^2+9)y=7e^{3x}+3x^2+4

Lösung

(d^{2} + 9) y = 7 e^{3 x} + 3 x^{2} + 4

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{18} e^{3 x} + \frac{x ^{2}}{3} + \frac{10}{27}

Schritte zur Lösung

(d^{2} + 9) y = 7 e^{3 x} + 3 x^{2} + 4

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{18} e^{3 x} + \frac{x ^{2}}{3} + \frac{10}{27}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{18} e^{3 x} + \frac{x ^{2}}{3} + \frac{10}{27}

Graph

Beliebte Beispiele

y^{''}-2y^'+y=(3x+1)e^x

y^{^{''}} - 2 y^{^{'}} + y = (3 x + 1) e^{x}

(d^2-13d+12)*y=x

(d^{2} - 13 d + 12) \cdot y = x

(d-1)^2*y=e^x*sec^2(x)tan(x)

(d - 1)^{2} \cdot y = e^{x} \cdot sec^{2} (x) tan (x)

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

(d^{2} + 3 d + 2) y = sin (e^{x})

(d^3+8)y=x^4+x+1

(d^{3} + 8) y = x^{4} + x + 1