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Beliebt Rechnen >

y^{''}+4y=2sec(2t)

Lösung

y^{^{''}} + 4 y = 2 sec (2 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2} ln (cos (2 t)) cos (2 t) + t sin (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y = 2 sec (2 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2} ln (cos (2 t)) cos (2 t) + t sin (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{2} ln (cos (2 t)) cos (2 t) + t sin (2 t)

Graph

Beliebte Beispiele

tangent 4x^2+5x,\at x=3

t an g e n t 4 x^{2} + 5 x, at x = 3

(\partial)/(\partial x)(e^{xy}+x+y)

\frac{\partial}{\partial x} (e^{x y} + x + y)

(dx)/(dy)=(x^2y^2)/(1+x)

\frac{d x}{d y} = \frac{x ^{2} y ^{2}}{1 + x}

integral from 0 to 2 of t/((3-t)^2)

\int_{0}^{2} \frac{t}{( 3 - t ) ^{2}} d t

derivative-1.2(9)+36

d er i v a t i v e - 1.2 (9) + 36