Math  /  Calculus

Question1. Find the general solution of the following differential equation by the method of undetermined coefficients: y+2y24y=16(x+2)e4xy^{\prime \prime}+2 y^{\prime}-24 y=16-(x+2) e^{4 x}

Studdy Solution
The general solution to the given differential equation is y(x)=C1e6x+C2e4x23(120x2+19100x)e4x.y(x) = C_1 e^{-6x} + C_2 e^{4x} - \frac{2}{3} - \left(\frac{1}{20}x^2 + \frac{19}{100}x\right)e^{4x}.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord