Question

help me with the question in the attachment.

Answer 1

how can i write the two expression written in the last for the solution of the differential equation?

Answer 2

You can multiply and divide the solution by \[\sqrt{c _{1^{2}} + c _{2^{2}}}\]
Taking the solution as resembling the expansion of \[\sin(A+B)\] or \[\cos (A+B)\] we can reduce into the two forms.

Answer 3

And the equation is of a simple harmonic oscillator.

Answer 4

yes, it is of simple harmonic oscilator only

Answer 5

could you please elaborate a bit more...

Answer 6

yeah, it may take some time.

Answer 7

u have all the time :)

Answer 8

i think i found the solution.

if i take c1 = A sin (phi)
and c2 = A cos (phi)

then i am geting the solution

Answer 9

yeah, you can reverse sin and cos for getting the other one.

Answer 10

I was saying the same thing. Now you get \[A ^{2} = c _{1^{2} }+c _{2^{2}}\]