Please answer all parts and give correct answers Now that we have the general solution solve the IVPy(0) = 6y (0) = 2Here is a graph of the solution to the IVP30-30 For the differential equation y"+25y= cos(5z)+12²Part 1: Solve the homogeneous equationThe differential operator for the homogeneous equation isList the complementary functionsPart 2: Find the particular solutionTo şolve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differentialoperator from above)Therefore the particular solution must be made up of the functionsSubstituting these into the differential equation, we find the particular solution isPart 3: Solve the non-homogeneous equationy' + 25y = cos(5x) + lz? has general solution (remember to use the format I gave you in your correct answer to the complementary functionsabove)Now that we have the general solution solve the IVPy(0) = 6y (0) = 2OKLearn moreCookies help us deliver our services. By using our services, you agree to our use of cookies.1:054/13/a1O

For the differential equation y" +25y = cos(5z) + 1z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is List the complementary functions Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operato operator from above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' + 25y = cos(5x) + la? has general solution (remember to use the format I gave you in your correct answer to t above)