Pleaase answer both, will rate too!
Pleaase answer both, will rate too! Give the general solution to powerpoint 1) • ,*--It came...
Question 11 Give the form of a particular solution of (4) – 16y-2 e 2x+3e" + cos2x) – 1 a) z-Axe* + Be **+Ccos(2x) + sin(2x) + E d) Axe 2+Be+Cx cos(2x) +Dx sin(2x) +B 3-Axe* +Be+3+ Cx cos(2x) +Dx sin(2x) + E 2=Axe 2+36-3x+cos(2x) + sin(2x) -Ae 2*+Be9*+ C'x cos(2x) + DX sin(2x) + E None of the above. e) f) Question 12 Give the form of a particular solution of J14) - 4 7 " +13 y" –...
The general solution of y(1) – 5y" – 36y = 0) is: (a) y = Cicos 3x + C2 sin 3x + C3e2x + C4e-20 (b) y=Ci cos 3x + C2 sin 3x + C3 cos 2x + C4 sin 2.0 (e) y=Cicos 2x + C2 sin 2x + C3e3x + Cae-31 (d) y=Cicos 2x + C2 sin 2x + C3e3x + Caxe3r (e) None of the above.
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) =...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
Solve the following questions and Choose the correct answer. 1) The General solution to y" + y = 0 sty -3&y(x) = -3 y = cos(3x) + sin(-31) , 3cos(x) – 3 sin(x) 3 ) 3 Answer 2) Suppose that y(t) and y(t) are two solutions of a certain second order linear differential equation, sin(t)y" + cos(t) y' - y = 0. 0<<< What is the general form of the Wronskian Wy ) (6) ? Without solving the equation. b)...
Please Show every step thank you. Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
d1= 3 and d2= 2 Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies initial condition u(0,0) Question 1 ch- 3, d2 - 2 (a) Find the most general solution u(x, y) of the two PDEs Lt +1) y cos y +(di +1)x cos ((d, +1)xy)+2x d2 (b) Find the solution that satisfies...
Please answer number 2 & not number 1 Ln(x) e = x Exercises VI 1. (Bonus) Prova 2. Find the general solution. z = 7? COS (*) = 2ze (a) y + 4y (b) y + sin(x) y dy + xy dx (d) dy + 2y (e) dx (c) 2 χ 8x² cos? (x) dx ت = ay dy sin (3x) dx - Х dy = Ln(y) dy
5. Use Gauss' Method to find the general solution of the system and give one particular solution. [6x, + 3x₂ + 2x₂ + 3x₂ + 4x, = 3 4x, +2x2 + x3 + 2x4 +3x, = 2. 1 2x + x₂ + x₃ + x₂ + x = 7
1.) 2.) 3.) can you please show all and every step thanks We were unable to transcribe this imageFind the general solution of xy' – 4y = x* cos(2x). a) y = }* sin(22) + C7 b) y = žain(22) + C24 c) y= *=* sin(22) + CZ a) y = 12cos(22) + C+ e) ©y = - * -* cos(2) +CZ L[y] =y'-y is a linear operator. If u(x) = –224 + 4ce3x, then find L[u(x)]. a) 16e3+ +...