8. Find the general solution of the following differential equation. y" (t) + 6y'(t) + 9y = 36 a. y(t) = Aje + Azte 3t + Azte + Azte + Azte + Azte + 4 3t b. y(t) = Aje 2t +4 C. y(t) = Aje 3t d. y(t) = Aje e. y(t) = Aje 3t 3t 3t + 41 3t Seçimimi temizle 9. Find the definite solution of the following differential equation when y(0)=8 and y'(0) y" (t) + 6y'(t) + 9y 54 2e te 3 16 a. y(t) b. y(t) C. y(t) d. y(t) e y(t) 2e 31 + te 3t 2e 3t te 3t9 2e 3 te +41 2e 2t te +6. Seçimimi temizle

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Q: y' + xy = 6x/y . %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.