3. y" - бу' +9у 3 te3t У(0)%31,у (0)-4
(1 point) Consider the IVP У + 3ty — бу %3D 3, у(0) — 0, У (0) — 0 (a) What is the Laplace transform of the differential equation, after being put into standard form? Y'(s) ) Y(s) = |(b) What is the solution to the differential equation? y(t)
Solve the initial-value problem. y" (0) =-1 y(0) = 2, y'(0) = 2, у",-2y" + y,-xe* + 5,
(a),(c),(d) Problems 18 Solve the following ODEs using Laplace transforms: (a) + 23(t) _ у(t) _ 2y(t)' 0 given y(0) y(0) 0 and у(0) (b) y(t) + 43(t) + 4y(t)-v-t given y(0)-У(0) -0 (c) j;(t)-2ý(t) + y(t)--e2t given y(0) ,(0) -1 (d) a)+2) y) 3e-given y(0) 4,(0) 2 (e) y(t) + 2ý(t) + 2y(1) 5 sin t given y(0)-У(0)-: 0 (f) y(t) + 6)() + 9y(t) -121-e_3r given y(0) у(0) 0 6 Problems 18 Solve the following ODEs using Laplace...
solve the Cauchy-Euler initial value problem x^2y"-3xy'+4y=0, y(1)=5, y'(1)=3
#32 U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
y"+ 2y' + y = 0, y(0) = 1 and y(1) = 3 Solve the initial-value differential equation y"+ 4y' + 4y = 0 subject to the initial conditions y(0) = 2 and y' = 1 Mathematical Physics 2 H.W.4 J."+y'-6y=0 y"+ 4y' + 4y = 0 y"+y=0 Subject to the initial conditions (0) = 2 and y'(0) = 1 y"- y = 0 Subject to the initial conditions y(0) = 2 and y'(0) = 1 y"+y'-12y = 0 Subject...
Find the Laplace Transform. 4.y"-4y"+2y-cosht = 0) where : y"(0) = 0, y'(0) = 2, and y(0) = 0
Mathematical Physics 2 H.W.4 y"+y-6y y+4y+4y y"+y0 y(0) 2 and y '(0) Subject to the initial conditionns 1 y"-y0 y(0) 2 and y'(0) = 1 Subject to the initial conditions yy'-12y 0 y(0) 2 and y '(0) 1 Subject to the initial conditions y"-4y xe Cos2x y"-2y'x+ 2e y"+y=sinx "-4y'+13y= e cos3x Solve the boundary-value problem y(0) = 1 and y(1) = 3 y"+ 2y'+y=0 Solve the initial-value differential equation y"+ 4y'+4y=0 subject to the initial conditions y (0) =...
5) Consider the IVP у"F-у, + 2У = 5x,y(0)= 4, y'(0) =-4. 5) Consider the IVP у"F-у, + 2У = 5x,y(0)= 4, y'(0) =-4.