Using Laplace transform solve, $\dfrac {dy} {d1}+3y+2\int _{0}ydt=1,y\left(0\right)=0$

$.$ $Q.2us1$ using Laplace transform solve $\dfrac {d^{2}y} {dx^{2}}$ $+y=0$ under the condition that $y=1,dy=0,$ 0,where $t=0$ dt

ESSAY QUESTIONS $\left(2$ $1$ Solve: $x^{2}y$ $-4xy^{'}+6y=21x^{-4}$ $2.$ Using Laplace transform solve $3.$ Using Laplace transform solve $y+$ $y^{'}+$ $4$ Using Laplace transform solve $y^{'}+1$ $5.$ Using Laplace transform solve the IV