Solve by using Laplace transform the partial differential equation 0² = 9. y(0,t) = 0, y(2,t) = 0, y(x,0) = 20 sin 2x-10 sin 5mx and 2 9 Ox² dy(x,0) dt =0

Consider the following four differential equations: Y A) y' t 23 t C) y' Y (a) For each ODE above, write the equations of the isoclines with slopes 1,0 and -1. (This means that in total you need to write 12 equations). B) y' D) y' Y t t Y

Find the complete time-domain solution for the follow-ing differential equation using Laplace transforms:                                                           d2x/dt2+6dx/dt+25x=e−t  ,x(0)=0,   dx(0)/dt=0

solve asapSolve using Methods of solution to High Order Differential EquationOr using Laplace Transform