38. Solve the initial value problem x+3y=+*2 + 2xy +T Y() = -2 2xy x2 +...
[10] 2. Solve the initial value problem (x² + 3y² + x)y' + 2xy + y = 0, y(1) = 1.
[10] 2. Solve the initial value problem (x^ + 3y^ + c)2 + 2xy + y = 0, g(1) = 1.
Solve the given initial-value problem. (x + y)2 dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x + y)3 (x + y)2 - 8x = -1
0 14 + x2 2. (3 points) Solve the initial value problem xy'–3y = x?, y(i)=
2. Integrating factor Solve the given initial value problem. a) (1 + x*)y' + 2xy = f(x), y(0) = 0 f(x) = {-x, x<0 x, x20
5. (11 points) Solve the following initial value problem, y" + 3y + 2y = g(t); y(0) = 0, 7(0) = 1/2 where g(t) = 38(t - 1) + uz(t) Type here to search
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -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);
Use the Laplace transform to solve the given initial-value problem.y' + 3y = e4t, y(0) = 2y(t) =