T2-3 (20 Points): Find the G.S. of the DE: (3xy - y2)dx + x(x - y)dy = 0 T2-4 (20 Points): In a hot summer day of constant temperature A, 100°F, my car overheated to To = 250°F. I pulled it over and waited for 20 minutes to drop the car's temperature to T20=200°F. I found, and moved my car to, a cool garage nearby of temperature Az 70°F (ignore the moving time and temperature due to move). The car...
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
How to find an integrating factor ? Solve (y2 + y) dx - x dy = 0.
solve using Exact and Non-Exact DE 13. -y dx +(x - x) dy 0 dy 0
Q4: Solve Bernoulli's equation dy + 3xy = y2 x3 : dx (10 Marks)
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
(8 points) Solve the following differential equation: (y - x)dx + (x + y2)dy = 0. = constant. help (formulas)
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....