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Beliebt Rechnen >

t^2y^{''}+7ty^'+10y=0

Lösung

t^{2} y^{^{''}} + 7 t y^{^{'}} + 10 y = 0

Lösung

y = \frac{c _{1} cos ( ln ( t ) ) + c _{2} sin ( ln ( t ) )}{t ^{3}}

Schritte zur Lösung

t^{2} y^{''} (t) + 7 t y^{'} (t) + 10 y = 0

Solve linear ODE:

y = \frac{c _{1} cos ( ln ( t ) ) + c _{2} sin ( ln ( t ) )}{t ^{3}}

y = \frac{c _{1} cos ( ln ( t ) ) + c _{2} sin ( ln ( t ) )}{t ^{3}}

Graph

Beliebte Beispiele

integral of tan(4x)sec^5(4x)

\int tan (4 x) sec^{5} (4 x) d x

limit as x approaches 7-of 1/(x-7)

x \to 7 - lim (\frac{1}{x - 7})

derivative sqrt(x^2+6)

d er i v a t i v e x^{2} + 6

tangent arcsin(x/7)

t an g e n t arcsin (\frac{x}{7})

y^'=(x^2+2*y^2)/(x*y)

y^{^{'}} = \frac{x ^{2} + 2 \cdot y ^{2}}{x \cdot y}