dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
solve using Exact and Non-Exact DE 13. -y dx +(x - x) dy 0 dy 0
solve dy/dx + (-4/x)y=x^5e^x 4. (3 pts) Solve de + y = x5 e.
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
Solve The Given Initial-Value Problem. The DE Is Homogeneous. (X + Yey/X) Dx ? Xey/X Dy = 0, Y(1) = 0
1. a) Solve the following linear ODE. dy * dx + 2y = 4x2, x > 0 b) Solve the following ODE using the substitution, u = dy (x - y) dx = y c) Solve the Bernoulli's ODE dy 1 + -y = dx = xy2 ; x > 0
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.
1. Solve x(1 – x2)dy + (2x²y - y -ax3) dx = 0.