2. a) Solve the initial value problem dy 1 dx 1+2x y -2x+1:y(2)-5 b) Explain why...
29. (a) Without solving, explain why the initial-value problem dy dx vy, y(xo) = yo has no solution for yo < 0. (b) Solve the initial-value problem in part (a) for yo > 0 and find the largest interval / on which the solution is defined
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out of...
2) (a)(10 pts.) Find the continuous solution to the initial value problem de + y = 9(2) where q() = { 0 if 2>1 sat S 1 if |2<1. satisfying y(0) = 0. (b)(10 pts.)Solve the differential equation de ty
Classify each equation as linear or nonlinear dy/dx = y^3 - 9 linear y" = 3y' - 6 nonlinear > 3y y' = 6-4 linear > 4x^2 y" - 3x y' + 4y = 2x - 4 linear
Solve the initial value problem ry' + xy = 1, > 0 y(1) = 2.
Find the general solution or particular solution of each the following DE's 1) (y-y2 tanx)dx + (2y+tanx)dy=0 2) (x2+y2+x)dx + xydy-0 i y(-1)-1 4) For the initial value problem y' + xy - xy? ex2 ; y(0)-1 Find the explicit solution if y>0 dy dae dy
2.2.20 Solve the initial value problem. x2 y(1)=5 dy 2x²-x-4 dx (x + 1)(y + 1) The solution is (Type an implicit solution. Type an equation using x and y as the variables.)
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)
Solve the initial value problem (2x – y2)dx + (1 – 2xy)dy = 0, y(1) = 5
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor