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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( 3 + 5 ) x}{2}} + c_{2} e^{\frac{( 3 - 5 ) x}{2}} + x^{2} + 7 x + 19

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{( 3 + 5 ) x}{2}} + c_{2} e^{\frac{( 3 - 5 ) x}{2}} + x^{2} + 7 x + 19

y = c_{1} e^{\frac{( 3 + 5 ) x}{2}} + c_{2} e^{\frac{( 3 - 5 ) x}{2}} + x^{2} + 7 x + 19

Graph

Beliebte Beispiele

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

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

y^{''}-6y^'+8y=e^{-3t}

y^{^{''}} - 6 y^{^{'}} + 8 y = e^{- 3 t}

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

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

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

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

(d^2y)/(dx^2)-4(dy)/(dx)+5y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 5 y = x e^{x}