Question: Problem #1: Let [[y] = any()(x) + an_jy(-D)(x ) + ... + ay'(x)+ app(x). where do: dj. .... an are fixed constants. Consider the nth

Problem #1: Let [[y] = any(")(x) + an_jy("-D)(x ) + ...

Problem #1: Let [[y] = any(")(x) + an_jy("-D)(x ) + ... + ay'(x)+ app(x). where do: dj. .... an are fixed constants. Consider the nth order linear differential equation [[y] = (-4+ 8x + 6x2)(3x ( # ) If it is known that [[y1 ()] = (-2+ 3x2)e3x when y1 (x) = (2 + 4x + 3x2)e3x LLy2(x)] = 4xe3x when yo(x) = (-2+2x+ 3x2)93x Find a particular solution, Vp (x), to (*)

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