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be quick please 2. Solve the following initial value problem * (8 Puan) = 8x2e-2y, y(0) = 1 dx O y = 1 In(4x4 + f2) O y = In(2x - 1) O y = -48x²e-2y O y = In(4x4 – 3) O y = {In(2x' + e?) O none of these O y = In(4x4 + 5) O y = 2x4 + e-2y+2 O y = In (2x + e)
Solve the initial value problem dy de 2y = 223, y(1)=3.
solve the initial value problem dy 3 2y = 2x y (1) = 3 ox
The only solution of the initial value problem ay' + by' + 2y = 4, y(0) = 2, y'(0) = 0 where a,and b are positive constants is y(x) = 2. True False
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...
4. Solve the initial value problem as a Bernoulli equation ay = (43 – 1)y, y(1) = 2
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
#6 Solve the initial value problem y(0)- 2, y,(0) 1 y"-3y' + 2y-6(t-3);
solve the Cauchy-Euler initial value problem x^2y"-3xy'+4y=0, y(1)=5, y'(1)=3
2. Solve the initial value problem using method of Laplace transforms: y" + 2y' + 2y = 3e1 satisfying y(0) 0 y'(0) =-1