Solve all three problems, OR DO NOT SOLVE ANY!!!! I will like your answer if you get them rightbuddy!
QUESTION 1 Find the particular solution of the following differential equation 3y - 2y + 12y'- 8y=0 satisfying the initial conditions y (0) = 0,y'(0) = 2, y" (0) = 0 if y=Ce² 2/3x is a solution of the given differential equation. O a.y=cos (2x) + sin (2x) Ob.y = e 2/3x Oc.y=e2/3x_ - cos (2x) - cos (2x) + sin (2x) Ody=-e² 2/3x e.y = sin(2x) + cos (2x) + sin (2x)
Find the general solution of y'+ 4y'=0 2x -2x Oay=C₁+C₁ +C₂e 1 Ob₁y=C₁+C₁₂e² + C₂te ²x Oc.y=C₁+C₂cos (2x) + C sin (2x) 1 Od.y=C₁+C₂ 1 2² - + + Coxe te -2x QUESTION 3 Find the particular solution of y+3y-10y=0, y(0)=2,y'(0) = 4. O a.y=2e-5x O b.y=3e²x - e -5x O cy=4e²t_ O d.y=2e^{2x}
Solve all three problems, OR DO NOT SOLVE ANY !!!! I will like your answer if you get them right buddy!
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