Use Laplace transformation to solve the following differential equations: y" + 4y = = sint + u, (t) sin(t – л); Hint: Since L (U₁₂ (4) sin (t-1)) C = TT L (K₂ (²) f(t-<)) = és F (s) Here f(t) = sint y(0) = 0, y'(0) = 0 Also for partial fraction. 1 (3²+1) (3²+4) = = F (s) = L (f(t)) = L (sint) = etts. I As+B 52 +1 + 5²+1 52 +1 CS+D 3² +4 -TS e 3²2² +1

Q: 5 Find y' if cos (Xty) =

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Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Differential equation

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