4. Consider t²y"-3ty' +4y=t² Int. Given that y₁ =1², y₂ =1² Int form a fundamental set of solutions to the corresponding homogeneous differential equation, find the GENERAL SOLUTION to the above differential equation.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Solve 4 

3.
) Determine a suitable form of a particular solution to y"+4y'+5y=t²e cost if the method of
undetermined coefficients is to be used. YOU ARE NOT ASKED TO EVALUATE THE CONSTANTS.
4.
Consider t²y"-3ty' +4y=t² Int. Given that y₁ =t², y₂ =² Int form a fundamental set of solutions
to tne corresponding homogeneous differential equation, find the GENERAL SOLUTION to the above
differential equation.
Transcribed Image Text:3. ) Determine a suitable form of a particular solution to y"+4y'+5y=t²e cost if the method of undetermined coefficients is to be used. YOU ARE NOT ASKED TO EVALUATE THE CONSTANTS. 4. Consider t²y"-3ty' +4y=t² Int. Given that y₁ =t², y₂ =² Int form a fundamental set of solutions to tne corresponding homogeneous differential equation, find the GENERAL SOLUTION to the above differential equation.
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