At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) =...
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
At least one of the answers above is NOT correct. (1 point) Solve the system -6 -2 dc dt T 20 6 -3 with c(0) T: 1 Give your solution in real form. x1 = e^(t)-3cos (2t)- 10 sin(2t)) X2 = e^(1)(-33sin(2t)+cos(2t)) An ellipse with counterclockwise orientation 1. Describe the trajectory
(1 point) х Suppose w 9 y + where у 2 + sin(2t), and z = z X = e e5t, y 2 + cos(7t). as X. dw A) Use the chain rule to find as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e e5t d dw 5/y(e^5t)+-x/y^2+1/z(2cos(2t))+(-y/3^2)*(-7sin(7t)) dt Note: You may want to use exp() for the exponential function. Your answer should be...
Find a vector function P(1) that parameterizes the curve of intersection of the cyinder X*+ --- = 1 and the plane 2x+y+z=1 • F(t)=(cos(t), 1-2cos(t) - sin(t), sin(t)> • F(t) = (cos(t), 1 - 2cos(t) – 3sin(t), 3sin(t)> • F(t) = (cos(t), sin(t), 1 – 2cos(t) - sin(t)> • F(t) = (cos(t), 3sin(t), 1-2cos(t) – 3sin(t)>
Bb Take Test: MATH 216 SUMMER 2 X Bb Blackboard Collaborate Ultra - M X X fc olearn.okan.edu.tr/webapps/assessment/take/launch.jsp?course_assessment_id=_9160_18_course_id=_11453_18_content_id=_118194_1&step=null K ... Remaining Time: 1 hour, 13 minutes, 51 seconds Question Completion Status: OL uz(t)e(4t-12) (cos(2t - 6) + 2.5 sin(2t - 6)) QUESTION 24 points Arts Find the inverse Laplace transform of the following function. Fis) = s2-3 st+1052 +9 (cos (31) +3sin (3t) -3cost-sint) OA 1 ou (3 cos (3t) +3sin (3t) - 3cost-sint) OC (3 cos (3t)+sin (3t) -3cost-3sint)...
Previous Problem Problem List Next Problem f(x, y) (1 point) Consider the function f(x, y) = (e* - 5x) sin(y). Suppose S is the surface z (a) Find a vector which is perpendicular to the level curve of f through the point (5,4) in the direction in which f decreases most rapidly. vector -(eA5-5)sin(4)i+-(e^5-5(5)cos(4)j (b) Suppose above (5,4). What is a? 2i 8jak is a vector in 3-space which is tangent to the surface S at the point P lying...
Q-1) Choose the right answers for the following questions: n+1 a-) + b-) + + + + + + INWIN + + ww + + WIN WIN + ... + + ... 2) n sin(nx) = a-) 0 + 2 sin(2x) + 4sin(4x) + ... b-) 2sin(x) + 3sin(2x) + 4sin(3x) + .. C-) sin(x) + 2sin(2x) + 3sin(3x) + ... d-) sin(x) + 3sin(2x) + 5sin(3x) + ... 3) For y = x² + xy + y2 + 3x...
(1 point) Solve the system 4 -2 dx II dt 10 -4 -3 with x(0) = -2 Give your solution in real form. Xı = -3cos(21)+(27sin(2t))/5 x2 = -2cos(2t)-11 sin(2t) An ellipse with counterclockwise orientation 1. Describe the trajectory.
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
The solution of the initial value problem y" + 4y = g(t); y(0) = -1, y'(0) = 4 is ОВ. cos 2t y = į SÓ 9(T) sin 2(t – 7)dt + 2 sin 2t – cos 2t y = {G(s) sin 2t + 2 sin 2t y = So 9(7) sin 2(t – 7)dt + 2 sin 2t – į cos 2t y = £g(t) sin 2t + 2 sin 2t – } oc OD COS 2t OE y...