(1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this problem (1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this...
Note: You can earn partial credit on this problem Problem 3. (1 point) Solve the IVP der 43 dt 3 (0) = Give your solution in real form. Ij = I2 = Note: You can eam partial credit on this problem Problem 4.
(1 point) Solve the system dx 1842 dt with the initial value x(0) - -1 x(t) -
Week 6: Problem 24 Previous Problem Problem List Next Problem (1 point) Find the centroid (x, у) of the region bounded by y = 7x2 + 72, and x = 5. y = 0, x = 0, 95/24 y95/24 Note: You can earn partial credit on this problem Week 6: Problem 24 Previous Problem Problem List Next Problem (1 point) Find the centroid (x, у) of the region bounded by y = 7x2 + 72, and x = 5. y...
3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0. 3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0.
(1 point) Solve the system 14-36 dx dt 6-16 with the initial value -20 x(0) = -8 x(t) =
Please solve this in Matlab Consider the initial value problem dx -2x+y dt x(0) m, y(0) = = n. dy = -y dt 1. Draw a direction field for the system. 2. Determine the type of the equilibrium point at the origin 3. Use dsolve to solve the IVP in terms of mand n 4. Find all straight-line solutions 5. Plot the straight-line solutions together with the solutions with initial conditions (m, n) = (2, 1), (1,-2), 2,2), (-2,0)
t F(x)=∫x0sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x). 7/3x^3-49/6x^7 Use this polynomial to estimate the value of ∫0.750sin(7x2) dx. -0.105743 (1 point) Let F(x)sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x) 713xA3-49/6x7 0.75 Use this polynomial to estimate the value of sin(7x2) dx 0.105743 Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 50%. (1 point)...
Solve for y(t). dy/dt + 2x = et dx/dt-2y= 1 +t when x(0) = 1, y(0) = 2
(6). The quantities x(t) and y(t) satisfy the simultaneous equations dt dt dx dt where x(0)-y(0)-ay (0)-0, and ax (0)-λ. Here n, μ, and λ are all positive real numbers. This problem involves Laplace transforms, has three parts, and is continued on the next page. You must use Laplace transforms where instructed to receive credit for your solution (a). Define the Laplace Transforms X(s) -|e"x(t)dt and Y(s) -e-"y(t)dt Laplace Transform the differential equations for x(t) and y(t) above, and incorporate...
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =