Name 1. Solve the following initial value problems. 1 (a) (10 pts.) Lecturer dy -- 2y...
Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x) Solve the initial value problem dy dx+2y-4e0y(O)2 The solution is y(x)
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is.) 1. (2xy + cos y) dx + (x2 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...
solve the given initial-value problem For Problems 37-40, solve the given initial-value problem. 38. y" = cos x, y(0) = 2, y'(0) = 1. 40. y” = xe", y(0) = 3, y'(0) = 4.
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
3) Solve the initial value problem. a) nie - 2x(y2 – 2y) = 0, with y(0) = 4 b) (-4y cos x + 4 sin I Cos I + sec? x)dx + (4y - 4 sin x)dy = 0, with y ) = 1
Solve the following Initial Value Problem: dy dt 2t + sect 2y y(0) = -5
1) y'' -2y'+y=xE^x, y(0)=y'(0)=0 Solve the initial value problem using the Laplace transform. y" – 2y + y = xe*, y(0) = y'(0) =
1. (10) Solve the following initial-value problem. Give an implicit solution (x + ye /*)dx - xe /*dy = 0, y(1) = 0
(1 point) Solve the following initial value problem: dy + 0.6ty = 3t dt with y(0) = 5. y = (1 point) Solve the following initial value problem: dy dt + 2y = 3t with y(1) = 7. y
5. (13 pts) Solve the following initial value problem: y" + 2y' + y-ul (t)o V"(0) 0. y(0) 0, (t-1), -(t1) cos