Solve the differential equation. Do not solve explicity for y. (3x2y + ey) dx + +...
Q4/ Solve the following ordinary differential equation: (ex+y + y ey) dx + (xey - 1 )dy = 0
Determine whether the equation is exact. If it is, then solve it (3x2y+8)dx+ (x3-8)dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A The equation is exact and an implicit solution in the form F(x.y) = C is _______ = C, where C is an arbitrary constant. B. The equation is not exact.
Use the change of variables to solve the differential equation. 5. xy' = y +2Vxy dy Y-3 dx y + x 7. cy' + y ln x = y lny 8. (x + yey/t) dx – xey/dy = 0, y(1) = 0)
Solve the equation (3x2y-dx + y - 4x®y-dy=0 An implicit solution in the form F(x,y)=Cis-C, where is an arbitrary constant, and (Type an expression using x and y as the variables ) by multiplying by the integrating factor
3. a) Show that the differential equation (3x’y + e)dx + (x3 + xey - 2y)dy = 0 is exact. b) Give an implicit solution.
Solve the differential equation. dy dx 3.c2e- y=In(x3 + C) y=Cln(x) y=+*+ Oy=ln(3x + C)
(2) [Problem 1.9.25 Part 1] Determine the integrating factor for the following differential equation. æży dx + y(x3 +e-34 sin y)dy = 0 (3) [Problem 1.9.25 Part 2] Use the integrating factor found in the previous prob- lem to solve the differential equation xạy dx + y(x3 +e-34 sin y)dy = 0.
Solve the differential equation given the initial condition provided. Do not solve explicity for y. = xy? – xy” cos x, y(0) = 1
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Solve the given differential equation by separation of variables. (ey + 1)2e-y dx + (ex + 1)8e-x dy = 0