- Ii Solve The Following Equations 1 Separating The Variables 1 X Y 3 4y 2 1 X Dx X Y Given That X 1 When Y 1 (71.21 KiB) Viewed 22 times
II Solve the following equations. 1. Separating the variables 1. x(y - 3) = 4y 2. (1+x) dx = x?y given that x = 1 when y = 2. 3. x2 + x + 1)e 4. cos y +(1 +*) sin y = 0, given that y = x/4 when x = 0. 5. x°[w+ 1) +y*(x-1) Homogeneous equations 6. (2) - x) = 2x + y, given that y = 3 when x = 2. 7. (xy + y2)+(x? -xv y 8. (x2 + y) = 3x de 9. y-3x + (4y + 3x) = 10. (x2 + 3xy?) X = y + 3x?y III. Integrating factor 11. *- y = x + 3x - 2x dy dy dr 12 dx + y tan x = sin x 13. no- = x cos x, given that y = 0 when * = -. 14. (1 + xº) on + 3xy = Sx, given that v = 2 when x = 1. 15. y cot x = 5205 *, given that y=-4 when x = n/2.