Solve the following differential equation with initial conditions: (see attachment)

Question

Solve the following differential equation with initial conditions:  (see attachment)

anonymous · Answer

attachment

anonymous · Answer

Can't we integrate both sides two times? I think the correct answer is C, eyeballing it.

anonymous · Answer

does the question ask for the second derivative?

anonymous · Answer

y'' represents the second derivative.
this is one of the symbols to denote integrals

anonymous · Answer

integrate to find y' first then use the value of y(0) to fing the constant of integration

anonymous · Answer

then integrate again for y'' and then use value of y'(0) to find constant of integration again

anonymous · Answer

Yeah. @shubhamk is correct.

anonymous · Answer

actually i was a little y'' is sign for 2nd order derivative meaning d2y/dx2 in real..
so u integrate then get y' and again on integration u get y

anonymous · Answer

so what's the answer? I'm not good with this.

anonymous · Answer

so what's the answer? I'm not good with this.

anonymous · Answer

let me solve it then
wait few minutes

anonymous · Answer

ok.

anonymous · Answer

option C

anonymous · Answer

thanks! got it right. your a genius.