Homogeneous Equation. Please help me to solve exercise a, b and c. Thank you

HOMOGENEOUS EQUATION Method of solution : Step 1 : Replace day => me , dy => m and y => I into the given dxo dx differential equation to form a characteristics equation- step 2 = find the roots of the characteristic equation. step 3 : In order to find the general solution of the differential equation , the type of root in step a is identified. step 4 : The general solution of equation is obtained . step 5 : If there is an initial condition , then substitute the condition into the general solution to obtain the value of the unknown constant- No : Subject:. Date : EXERCISE Determine the solution of the following differential equations . a ) yo - by' t qy = 0 Answer : y ( x ) = (At B x ) e 3 x b ) A 9 0 - 1 2 4' t qy = 0 , 4 10) = 0 and y'10 ) = -1 Answer = y (x ) = = (1 - ax ) e 3/2 x c ) H y " + A y' t g = 0, 4 10) = 2 and y'(1 = e's Answer = you) = (4 x ta )e