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Beliebt Rechnen >

y^{''}-y^'-6y=36x,y(0)=4,y^'(0)=-17

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 36 x, y (0) = 4, y^{^{'}} (0) = - 17

Lösung

y = - e^{3 x} + 4 e^{- 2 x} - 6 x + 1

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 36 x

Solve linear ODE:

y = - e^{3 x} + 4 e^{- 2 x} - 6 x + 1

y = - e^{3 x} + 4 e^{- 2 x} - 6 x + 1

Graph

Beliebte Beispiele

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

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

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

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

(d^2y)/(dx^2)-4(dy)/(dx)-32y=6+3x

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 32 y = 6 + 3 x

y^{''}+ay^'-2a^2y=1

y^{^{''}} + a y^{^{'}} - 2 a^{2} y = 1

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

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