Find an equation of the curve that satisfies dy 120yx11 dr and whose y-intercept is 4....
Find an equation of the curve that satisfies dy 68yx16 de and whose y-intercept is 4. y(2) =
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
2. (10 pts. Consider the differential equation dy y sin . dr (a) Find the general solution of this equation by the method of your choice. Write the solution in explicit form. (b) Find the solution which satisfies the initial condition un 3
Find the function y=y(x) (for x>0) which satisfies the separable differential equation dy/dx = (4+17x)/(xy^2). ;x>0 with the initial condition: y(1)=2
find the function y=y(x) for x>0 which satisfies the seperable differential equation, dy/dx=(4+17x)/(xy^2), x>0, y(1)=3
1. Find the equation of the curve passing through the point (1, 1) whose differential equation is (y - yx)dx + (x + xy)dy = 0 (10 marks)
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
Find an equation of the line that satisfies the given conditions. Through (-1, -14); perpendicular to the line passing through (2,-2) and (6,-4) Find an equation of the line that satisfies the given conditions. Through (-9, 1); parallel to the line x = 7 Find an equation of the line that satisfies the given conditions. Through (1, 1); parallel to the line y = 9x - 7 Find an equation of the line that satisfies the given conditions. Through (9,...
24) a. Find the x intercepts for the parabola whose equation is: b. Find the y intercept for the parabola whose equation is: y x2-7x +10 25) If f(x) 5x +4, find f(5)
Find the function y = y(2) (for x > 0) which satisfies the separable differential equation dy 6 + 14.2 dic 12 2 0 with the initial condition y(1) = 3. y=