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Beliebt Rechnen >

(d^2y)/(dx^2)-7(dy)/(dx)=-3

Lösung

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} = - 3

Lösung

y = c_{1} e^{7 x} + c_{2} + \frac{3 x}{7}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} = - 3

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} + \frac{3 x}{7}

y = c_{1} e^{7 x} + c_{2} + \frac{3 x}{7}

Graph

Beliebte Beispiele

y^{''}+y^'=sqrt(2)sin(sqrt(2))t

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

y^{''}-6y^'+25y=30e^{3x}sin(x)

y^{^{''}} - 6 y^{^{'}} + 25 y = 30 e^{3 x} sin (x)

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

y^{''}+2y^'+10y=2cos(6x)

y^{^{''}} + 2 y^{^{'}} + 10 y = 2 cos (6 x)

6y^{''}-3y=x^2-x+7

6 y^{^{''}} - 3 y = x^{2} - x + 7