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Beliebt Rechnen >

y^{''}-5y^'+6y=pix^2+3

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = π x^{2} + 3

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{π x ^{2}}{6} + \frac{5 π x}{18} + \frac{54 + 19 π}{108}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = π x^{2} + 3

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{π x ^{2}}{6} + \frac{5 π x}{18} + \frac{54 + 19 π}{108}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{π x ^{2}}{6} + \frac{5 π x}{18} + \frac{54 + 19 π}{108}

Graph

Beliebte Beispiele

y^{'''}+y^{''}=9x^2

y^{^{'''}} + y^{^{''}} = 9 x^{2}

y^{''}-9y^'+4y=xe^x

y^{^{''}} - 9 y^{^{'}} + 4 y = x e^{x}

y^{''}+4y=sec^2(x)

y^{^{''}} + 4 y = sec^{2} (x)

y^{''}+2y^'-3y=1,y(0)=e^x-1/3

y^{^{''}} + 2 y^{^{'}} - 3 y = 1, y (0) = e^{x} - \frac{1}{3}

y^{'''}-12y^{''}+256y=e^{8x}

y^{^{'''}} - 12 y^{^{''}} + 256 y = e^{8 x}