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Beliebt Rechnen >

y^{''}+y^'-42y=0

Lösung

y^{^{''}} + y^{^{'}} - 42 y = 0

Lösung

y = c_{1} e^{6 t} + c_{2} e^{- 7 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 42 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- 7 t}

y = c_{1} e^{6 t} + c_{2} e^{- 7 t}

Graph

Beliebte Beispiele

integral of (5x^2)/((a^2-x^2)^{3/2)}

\int \frac{5 x ^{2}}{( a ^{2} - x ^{2} ) ^{\frac{3}{2}}} d x

tangent f(x)=e^x,\at x=ln(10)

t an g e n t f (x) = e^{x}, at x = ln (10)

derivative tan(sin(x^3))

d er i v a t i v e tan (sin (x^{3}))

(dy}{dx}=-\frac{y+1)/x

\frac{d y}{d x} = - \frac{y + 1}{x}

derivative f(x)=(x^2+1)^3(x^2+2)^6

d er i v a t i v e f (x) = (x^{2} + 1)^{3} (x^{2} + 2)^{6}