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Solve the differential equation using the method of undetermined coefficients. y″ + 3y ′ − 18y = 1 − 4x2

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Solve the differential equation using the method of undetermined coefficients.

y″ + 3y ′ − 18y = 1 − 4x2

by (1.7k points)
+2
Differential equation of order 2  is out of jee syllabus
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I hope there are no calculation mistakes

by (45 points)
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Thank you so much I'll try to figure out how you solved it
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