Use the Laplace transform to solve initial value problems 2. x" + 6x' + 18x sin 2t, x(0) = -1, x'0) = 1.
Solve the given initial-value problem. dax + 4x = -7 sin(2t) + 6 cos(2t), x(0) = -1, x'(0) = 1 xce) = -cos(2+) – sin(2t) + {cos(21) + (sin(21) Need Help? Read It Watch It Talk to a Tutor
4 Linearize the following ODE around Xo 2T,u,-1 0 0 x 2 sin(x) + xu + u2
If sin(x) = and cos(x) < 0 and 0 (5) and sin⑨ x < 2T. determine the exact value of cos If sin(x) = and cos(x)
write solution of x''+9x = sin(2t) x(0)=0 and x'(0)=1 as the sum of two oscillations
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
on [0, 2T). sin x 2 2 cos2 Find all solutions to 1 _ Enter the answer in terms of T, as needed. Do not enter a decimal approxima Click here to open instructions for entering a. This question accepts lists of numbers or formulas separated by semicolons. E.g. "2; 4; 6" or "x+1; x-1". The order of the list doesnt matter but be sure to separate the terms with semicolo
you can skip question 1 Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
-6x + 4y -2 -18x 12y - k -15x + 10y -5 is a consistent system. Then k
consider a particle with the wave function v(x)=N[sin(x)+sin(6x)] and the boundary condiitons 0<x<pi. Find the value of normalization constant