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Posted: **Wed Jul 06, 2022 11:49 am**

: 1 Point The General Solution Of The Homogeneous Differential Equation Can Be Written As Where A B Are Arbitrary Const 1 (43.58 KiB) Viewed 15 times

: 1 Point The General Solution Of The Homogeneous Differential Equation Can Be Written As Where A B Are Arbitrary Const 2 (15.7 KiB) Viewed 15 times

(1 point) The general solution of the homogeneous differential equation can be written as where a, b are arbitrary constants and 3x³y" + 7xy + y = 0 y= Ye = ax is a particular solution of the nonhomogeneous equation Y 1 + bx 3 Yp=5+2x 3x³y" +7xy + y = 16x + 5 By superposition, the general solution of the equation 3x²y" + 7xy' + y = 16x + 5 is y = ye+ Yp 50 NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y(1) = 6, y'(1) = 3
The fundamental theorem for linear IVPS shows that this solution is the unique solution to the IVP on the interval The Wronskian W of the fundamental set of solutions y₁=¹ and 3/2 = -1/3 for the homogeneous equation is W