3. [4 points] If a general solution of the differential equation (D)y = 0 is 2x C₁e+ (C₂+ C3x)e² + е-5¹ [(C₁+C5x) cos(3x

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3. [4 points] If a general solution of the differential equation (D)y = 0 is 2x C₁e+ (C₂+ C3x)e² + е-5¹ [(C₁+C5x) cos(3x

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3. [4 points] If a general solution of the differential equation (D)y = 0 is 2x C₁e+ (C₂+ C3x)e² + е-5¹ [(C₁+C5x) cos(3x) + (C6 + C7x) sin(3x)], then for the differential equation below, state the form for the particular solution predicted by the method of undetermined coefficients. Do not evaluate the coefficients. þ(D)y = x + sin(3x) + e¯¤ +x²e²x
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