Determine the form of a particular solution to L(y)=phi (x) for phi(x) as given if the solution to the associated homogeneous equation L(y)=0 is y_h=c_1 e^(2x)+c_2 e^(3x)
1) phi(x)=2x-7
2) phi(x)=-3x^2
3) phi(x)=4e^(2x)
4) phi(x)=2 cos (3x)
stratsticks57jl
Answered question
2022-07-20
Determine the form of a particular solution to for as given if the solution to the associated homogeneous equation L(y)=0 is
Answer & Explanation
fairymischiefv9
Beginner2022-07-21Added 11 answers
Consider the differential equation
The complementary solution associated with L[y] is 1)Find the form of particularsolution if This function is polynomial and no repetition of terms with , the form of particular solution is 2)Find the form of particularsolutionif This function is polynomial and no repetition of terms with , the form of particular solution is 3)Find the form of particularsolution if This function is exponential and thereis repetition of terms with , the form of particular solution is ,(if there is no repetition then the particular solution form is 4)Find the form of particular solution if This function is trigonometric and there is no repetition of terms with , the form of particular solution is