The answer above is NOT correct. (1 point) Find the general solution to y(4) – 8y"" + 15y" = 0. In your answer, use C1,C2,C3 and C4 to denote arbitrary constants and x the independent variable. Enter ci as c1, c2 as c2, etc. y=c1+xc1+c3e^(3x)+c4e^(5x) help (equations)
Find the general solution of y” + 4y' + 5y = 0. Select one: • a. y = {-2x (cos(x) + sin(x)) b. y = e-24 (A cos(x) + B sin(x)) c.y = Cje-2x (cos(x) + sin(x)) O d. y = e*(A cos(2x) + B sin(2x))
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y' + 6y = ex cos 2x + e2x(3x + 4) sin x (ans. this is #21(a) in sec. 3.6) 2. y" - 3 y' - 4 y = 3 e2x + 2 sin x - 8eXcos 2x (ans. Yp = Ae2x + B cos x + C sin x + De* cos 2x + E e sin 2x) V. Solve by variation of parameters....
Find a general solution to the given homogeneous equation. (D+1)?(0-9)º(D+3)(D+ 1) (D? + 49) [y] = 0 Choose the correct answer below. - 3x OA y(x) = C, e ** + C2 e 9x + Cze + C4 COS X + Cs sin x + Cocos 7x + C7 sin 7x OB. y(x) = C, e* + Cze - 9x + C3 e 3x + Ce cos x+Cs sin x+Cg cos 7x+ Cy sin 7x Oc. y(x) = C, e...
The general solution of the equation y 9y = 0 is y cicos(3x) C2sin(3x). Find values of ci and c2 so that y(0) = 0 and y' (0) = -6 C1 C2 Plug these values into the general solution to obtain the unique solution.
II. Determine the general solution of the given 2nd order linear homogeneous equation. 1. y" - 2y' + 3y = 0 (ans. y = ci e' cos V2 x + C2 e* sin V2 x) 2. y" + y' - 2y = 0 (ans. y = C1 ex + C2 e -2x) 3. y" + 6y' + 9y = 0 (ans. y = C1 e 3x + c2x e-3x) 4. Y" + 4y = 0, y(t) = 0, y'(T) =...
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
Directions: In 1-6, determine the polar form of the given rectangular equation. [1] 36x² + 36y² = 3600 A. = 360° B. r= 100 C. r=-10 D. r = 36 E. none of these [2] 16x - 5y = 20 A r = 16 -5cos + 20 sine B. r = -5 20cos + 16 sin c. r = 20 16 cos 0 - 5sine D. = tan 16 5 272.646° E. none of these [3] y = x A....
Find the general solution of the equation y" + 361y = 0. y(t) = C1 cos 19t + c2 sin 19t o o o o y(t) = ci cos t-cı sin t y(t) = ci cos t+ c2 sin 19t y(t) = cı cos 19t+ c2 sin t
Directions: In 1-6, determine the polar form of the given rectangular equation. [1] 36x +36y? - 3600 A. 0 = 360° B. = 100 c. r= -10 D. r = 36 E. none of these [2] 16x - 5y = 20 A. - 16 -5 cos 8 + 20 sine B. = -5 20 cose + 16 sin C. r = 20 16 cos @ Ssine D. @ = tan 16 5 72.646° E. none of these [3] y =...