Question

d^2*y/dx^2 = 0 , y'(0) = 2, y(0) = 5 HELP PL0X

Answer 1

\[y''=0,\]
with the initial values \(y'(0)=2\) and \(y(0)=5\).
Well, since you have a homogeneous equation, you immediately get the characteristic equation:
\[r^2=0\]
The roots are 0 (with multiplicity 2). The general solution would be \(y=C_1e^{0x}+C_2xe^{0x}\), or simply \(y=C_1+C_2x\).