192k views
1 vote
Suppose you were to solve the previous DE by the method of yariation of porameters. Substitute inte the formole for y p​

(x) below in detail and express the integrands in final form hefore: intecration BUT DO NOT DOO the integrals. First write the Wronskian W bere: W= Then substiturte into the formula:

User Inwood
by
8.2k points

1 Answer

6 votes

Final answer:

To solve the differential equation using the method of variation of parameters, find the Wronskian and substitute it into the formula for the particular solution. Express the integrands in their final form before integration.

Step-by-step explanation:

To solve the differential equation using the method of variation of parameters, we first need to find the Wronskian (W). The Wronskian is given by:

W = (y1*y2' - y1'*y2)

Once we have the Wronskian, we can substitute it into the formula for the particular solution (yp(x)). However, before integrating, we should express the integrands in their final form but not actually perform the integrals. Finally, we can substitute the values into the formula and integrate the resulting expression to find the particular solution, yp(x).

User MoDJ
by
8.0k points