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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-6y=32sin(3x)

y^{^{''}} - y^{^{'}} - 6 y = 32 sin (3 x)

y^{''}-2y^'+y=576e^{9t}

y^{^{''}} - 2 y^{^{'}} + y = 576 e^{9 t}

y^{^{''}} - y = - 2 t + 3

y^{''}-3y^'+2y=3cos(3t)

y^{^{''}} - 3 y^{^{'}} + 2 y = 3 cos (3 t)

y^{''}-12y^'+36y=72x+225cos(3x)

y^{^{''}} - 12 y^{^{'}} + 36 y = 72 x + 225 cos (3 x)