Meme Solve the initial value problem. one = sir (1) = 4, r(1) = 5 Select...
Solve the following initial value problem: 4-3 )+sin Compute Select one: A. B. C. D. (2e1 Solve the following initial value problem: 4-3 )+sin Compute Select one: A. B. C. D. (2e1
Question 9 (20 points) Solve the initial value problem. - )- 4 3 X' -3 -2 2 t- 2 Xt e t +2 - 12t - 2 = e! 12t-2 2t-4 = e -2t - 6 *(0-31 2t-2 = e 2-2
(1 point) Solve the initial value problem 2yy' + 4 = y2 + 4.r with y(O) = 5. a. To solve this, we should use the substitution help (formulas) With this substitution, y = help (formulas) y' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for ). b. After the substitution from the previous part, we obtain the following linear differential equation in 2, u, u'. help (equations) C. The solution to the original initial...
(1 point) Consider the following initial value problem: y" – 3ý' – 40y = sin(6t) y(0) = -4, y'(0) = 3 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s) = ((3434/949)(e^(85))+((167/442)(e^(-5s)))+(((9/2428)(cos(3S)-((49/2429)(sir
Solve the initial-value problem S'(t)=(6t+3)/S(t)^2, S(1)=3
Problem 3: Solve the initial value problem and write your solution as a piecewise func- tion: y () y(0) A,y(0) with cos(2t), cos (2t) +cos (2t - 12), t2 6 f(t)
5. Solve the initial-value problem associated with the linear first-order ODE z y + * In(x) y = 2e3x y(1) = 0, O O where the prime stands for differentiation with respect to x. O A. y = r-> (3x + Ke"), where K is an arbitrary constant. B.y=r" (e3+ Ke*), where K is an arbitrary constant. C.y=r-(+2 – 23). OD. y = x* (032 – *+2). O E. y = x-P(.38 – 42+2). OE y = x? (032 –...
4. (10 points) Solve the initial value problem xy' + 2y = ln(r), y(1) = 2 [Note: this problem will require integration by parts.
1. Solve the initial-boundary value problem one = 4 for () <<3, t> 0, u(0,t) = u(3, 1) = 0 for t> 0, u(x,0) = 3x – 2” for 0 < x < 3. (30 pts.)
Solve the initial value problem. = 12x (3x? -5)". y(1)=4 04. =(3x?-5) -4 O B. y=3 (3x2 =5) +4 OC. y= 3 (3x - 5) * -4 LOD. x = (3x - 5)² - 4