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Given the equation, a(second partial-∂ x/∂ t)  + b(∂ x /∂ t-first partial)+ c x = 0...

Given the equation, a(second partial-∂ x/∂ t)  + b(∂ x /∂ t-first partial)+ c x = 0 show that A ⅇⅈ ω t is a solution for certain values of ω (Be sure to specify all relevant values of ω). (Begin by substituting x = A ⅇⅈ ω t into the above equation and then solve for values of ω such that the equation is satisfied for all values of A and t

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