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Beliebt Rechnen >

y^{''}-7y^'=5t

Lösung

y^{^{''}} - 7 y^{^{'}} = 5 t

Lösung

y = c_{1} e^{7 t} + c_{2} - \frac{5 t ^{2}}{14} - \frac{5 t}{49}

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) = 5 t

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} - \frac{5 t ^{2}}{14} - \frac{5 t}{49}

y = c_{1} e^{7 t} + c_{2} - \frac{5 t ^{2}}{14} - \frac{5 t}{49}

Graph

Beliebte Beispiele

limit as x approaches 0 of x/(sin(4x))

x \to 0 lim (\frac{x}{sin ( 4 x )})

laplacetransform sin(t-pi)

l a pl a ce t r an s f or m sin (t - π)

tangent f(x)=x^2,\at x=0.2

t an g e n t f (x) = x^{2}, at x = 0.2

derivative f(x)= 7/(x^2)

d er i v a t i v e f (x) = \frac{7}{x ^{2}}

derivative of-1/(x^2+1)

\frac{d}{d x} (- \frac{1}{x ^{2}} + 1)