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Beliebt Rechnen >

y^{''}-8y^'=4t

Lösung

y^{^{''}} - 8 y^{^{'}} = 4 t

Lösung

y = c_{1} e^{8 t} + c_{2} - \frac{t ^{2}}{4} - \frac{t}{16}

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) = 4 t

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} - \frac{t ^{2}}{4} - \frac{t}{16}

y = c_{1} e^{8 t} + c_{2} - \frac{t ^{2}}{4} - \frac{t}{16}

Graph

Beliebte Beispiele

integral of (2x)/(x^2-16)

\int \frac{2 x}{x ^{2} - 16} d x

implicit (dy)/(dx),x^2+y^2=0

im pl i c i t \frac{d y}{d x}, x^{2} + y^{2} = 0

(\partial)/(\partial x)(x/(x^3-y^5))

\frac{\partial}{\partial x} (\frac{x}{x ^{3} - y ^{5}})

sum from n=0 to infinity of 7/(n(n+3))

n = 0 \sum \infty \frac{7}{n ( n + 3 )}

fläche x=-y^2+6,y= x/2-3/2

a re a x = - y^{2} + 6, y = \frac{x}{2} - \frac{3}{2}