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Beliebt Rechnen >

y^{''}+9/t y^'+(15)/(t^2)y=0

Lösung

y^{^{''}} + \frac{9}{t} y^{^{'}} + \frac{15}{t ^{2}} y = 0

Lösung

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2}}{t ^{5}}

Schritte zur Lösung

y^{''} (t) + \frac{9}{t} y^{'} (t) + \frac{15}{t ^{2}} y = 0

Solve linear ODE:

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2}}{t ^{5}}

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2}}{t ^{5}}

Graph

Beliebte Beispiele

sum from n=1 to infinity of (3^n)/(2^n)

n = 1 \sum \infty \frac{3 ^{n}}{2 ^{n}}

(\partial)/(\partial x)(2x^{0.5}y^{0.5})

\frac{\partial}{\partial x} (2 x^{0.5} y^{0.5})

derivative 3x^2+8x-25

d er i v a t i v e 3 x^{2} + 8 x - 25

integral of 4x^2+3

\int 4 x^{2} + 3 d x

derivative w(z)=(3z)/(1+2z)

d er i v a t i v e w (z) = \frac{3 z}{1 + 2 z}