Differential equation Q5 please / Q10 if possible, thank you so much Exercises 1. Show that...
Differential equations 7.3 Operational properties I Table for reference if needed. Use operational properties of the Laplace Transform to show Hint: F(t)=1.5(1) t S+1 t TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
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...
Please provide step-by-step instruction if possible. Thank you so much! Find the Laplace transform Y (8) = L {y} of the solution of the given initial value problem. y" + 16 = S 1,0<t< , y(0) = 3, y' (0) = 2 0, <t<oo Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Y (8) = c[1]*cos(4*t)+c[2]* sin(4*t)+1 Qe
Please show work as neatly as possible, thank you so much in advance! Decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation. 60''(x) - 70(x) = 4x sin 2x + 4x cos 2x Choose the correct answer below. O O Yes No
can someone help me solve #5 and please show work, thank you! 5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
Differential equation class. Please show steps to the solutions. Section 3.3 Exercises To Solutions For all exercises in this section you will be working with the equation dt for various values of m, β and k. but always with f(t)-0. 1. (a) Solve the initial value problem consisting of Equation (1) withm-5, B- and k 80, and initial conditions y(02, y(0)-6. Give your answer in the form y Cesin(wt and all numbers in decimal form, rounded to the nearest tenth....
Please show all the work so I can understand Thank you!!! Simplify the following 1. cos(–3x) cos(-x) – cos (6 – 3x) sin(-x) cos (5 – ) - 1 2. 2 cos 3. sin12º – sin8°
please help and answer all ASAP please thank you so much Question 49 (1 point) When light travelling in glass enters glass with a higher index of refraction, the wave will be: a) partially transmitted with a change in phase b) transmitted forming a standing wave pattern in air c) reflected so as to form a node at the junction d) totally reflected at the junction e) partially reflected without a change in phase Question 38 (1 point) The charge,...
Differential Equation class. Show the steps for the solutions please. Section 3.2 Exercises To Solutions 1. Suppose that the mass is set in motion by moving it upward by 2.5 cm and releasing it with no initial velocity (a) Sketch what you think the graph of y versus t will look like, taking care with the fact that positive y is upward. Make the amplitude of the motion clear on your graph. (b) Express the initial conditions mathematically by giving...
Please show as much work and explanation as possible, thank you so much! Part 2: For each question below, select all answers that are correct (there may be more than one correct answer, there may be none). Each potential answer is worth 2 points. MPK then we can conclude that: PK MPL 1. If PL (a) The firm should use more capital (K) and less labor (L) (b) The firm is not operating on its Long Run Average Cost Curve....