How might I be able to answer problem 4? This problem is from a Differential Equations Textbook. The section is titled, "The Method of Variation of Parameters." 0,1. y +y tan t,determine a...

0, 1. y +y tan t, determine a particular solution. 10. Find a formula involving integrals for a particular solution of the differential equation 2. y"-y' t 3. y-2y"-y'+2y e 4. y-y"+y'-y e sint y"-y"+y-y= g(1). In each of Problems 5 and 6, find the general solution of the given differential equation. Leave your answer in terms of one or more integrals. 11. Find a formula involving integrals for a particular solution of th differential equation es: Reducti Undeter y4) - y= g(1). 5. y-y+y-y-secr, -<>< 2="" hint:="" the="" functions="" sin="" t,="" cost,="" sinh="" t,="" and="" cosh="" set="" of="" solutions="" of="" the="" homogeneous="" equation.="" mechan="" form="" a="" fundamen="" 6.="" y"-y="csc" t,=""><>
Extracted text: Problems 9. Given that x, x2, and 1/x are solutions of the homogeneous equation corresponding to In cach of Problems 1 through 4, use the method of variation of parameters to determine the general solution of the given differential equation. xy"+x?y"-2xy +2y 2x, x> 0, 1. y +y tan t, determine a particular solution. 10. Find a formula involving integrals for a particular solution of the differential equation 2. y"-y' t 3. y-2y"-y'+2y e 4. y-y"+y'-y e sint y"-y"+y-y= g(1). In each of Problems 5 and 6, find the general solution of the given differential equation. Leave your answer in terms of one or more integrals. 11. Find a formula involving integrals for a particular solution of th differential equation es: Reducti Undeter y4) - y= g(1). 5. y-y+y-y-secr, -<>< 2="" hint:="" the="" functions="" sin="" t,="" cost,="" sinh="" t,="" and="" cosh="" set="" of="" solutions="" of="" the="" homogeneous="" equation.="" mechan="" form="" a="" fundamen="" 6.="" y"-y="csc" t,=""><>