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Beliebt Rechnen >

y^{'''}-y^{''}-y^'+1=0

Lösung

y^{^{'''}} - y^{^{''}} - y^{^{'}} + 1 = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - y^{''} (t) - y^{'} (t) + 1 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+9y=sin(2x),y(0)=-1,y^'(0)=0

y^{^{''}} + 9 y = sin (2 x), y (0) = - 1, y^{^{'}} (0) = 0

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

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

y^{''}-9y=sin(x)

y^{^{''}} - 9 y = sin (x)

(d^2u)/(dy^2)-4u+6=0

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0

y^{''}-16y=32+45e^x,y(0)=0

y^{^{''}} - 16 y = 32 + 45 e^{x}, y (0) = 0