Problem 6. Solve the following initial value problem: cos(x) y + ysin(x)-2xc082(x), y(n/4)-- 15V2㎡ /32
Use the Laplace transform to solve the following initial value problem. y" - y = 32 cos(t) y(0) = 0, y'O) = 0 y(t) = 8e + + 8e – 16 cos(t)
6. Solve the initial value problem y" + y = 0, y(0)=0, y'0=1 (a) -COS X (b) -sin x (c) -sin x + cos x (d) -sin x COS X (e) COS X (f) sin x (g) sin x-COS X (h) sin x + cos x 7. Find a particular solution yn of the differential equation (using the method of undetermined coefficients): y + y =p2 (a) 2e (b) 3e (c) 4e: (d) 6e (e) 2/2 (f) e2/3 (g) e2/4...
(1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.) (1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.)
Solve the following initial value problem using the Laplace Transform: y" + 9y = 6 cos(3x) with y(0) = -1 and y'(0) = 1
4. Solve the following initial-value problem: 2 2 for 3-dimensional vector X. Present the final answer in terms of єkt, ektsinrnt and ekt cos mt. 4. Solve the following initial-value problem: 2 2 for 3-dimensional vector X. Present the final answer in terms of єkt, ektsinrnt and ekt cos mt.
solve the exact differential equation (-2sin(x)-ysin(x)+2cos(x))dx+(cos(x))dy=0 where y(0)=5
solve the given initial-value problem For Problems 37-40, solve the given initial-value problem. 38. y" = cos x, y(0) = 2, y'(0) = 1. 40. y” = xe", y(0) = 3, y'(0) = 4.
Solve this initial value problem a) 1/2 dy/dx = rad(y+1) cos x, y(pi)=0
6. Undamped Vibrations: Solve the initial value problem for y(t). y" +y = cos(wt); w2 #1; y(0) = 0; y'(0) = 0. (8) Plot y(t) versus t, for w= -0.2, 0.9 and 6 to observe beats and resonance.
Use the Laplace transform to solve the given initial-value problem. y" + y = 8(6 - ) + 8(t-?M), (O) = 0, 7(0) = 0 -cos(t) – Jault --) + ( -cos (1) x )ult- y(t) 7 2 7