solution :
1. (10) Solve the following initial-value problem. Give an implicit solution (x + ye /*)dx -...
Solve the initial value problem. y dx+(x-7)dy 0, y(8)= 25 The solution is (Type an implicit solution. Type an equation using x and y as the variables.)
Solve the initial value problem. dy = x(y-5), y(0) = 7 dx 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. Vy dx + (x - 7)dy = 0, y(8) = 49 The solution is a (Type an implicit solution. Type an equation using x and y as the variables.)
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.)
#01) Use separation of variables to solve the following initial value problem x+ye x dy = 0; y(1) = 1 Q2) Solue linear equtians dy - {ysetzt cost
Solve the initial value problem. (6+av+x]dx + (8yx? + sin y) dy = 0, y(t) == The solution is (Type an equation using x and y as the variables. Type an implicit solution. Type an exact answer in terms of t.)
Using integrating factor, solve the initial value problem for the following ODE. dy y dx X - 7xe, y(1) = 7e -7 The solution is y(x) = D.
(4) Find the implicit particular solution of the initial-value problem (e+4y)dx+ (3y +4r)dy 0, y(0) = 1 by using the method from Section 2.4.
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) =