Answer :
Consider the given differential equation
Let be the particular solution
Then
By substituting in the given differential equation
By equating , we get
and A = 1
Thus the particular solution of the given differential equation is
PLEASE USE RICCATI DE T2-2 (20 Points): Find the G.S. of the DE: xy' + y...
Find the G.S. of the DE: xy' + y = 3x2 Prime denotes derivative WRT X. (Hint: guess a P.S. yı = Axa)
T2-1 (20 Points): Find the P.S. of the IVP: x2 + 2xy + y2 1 + (x + y)2 y(x = 0) = 4 Primes denote derivatives WRT x. Sy' T2-2 (20 Points): Find the G.S. of the DE: xy' + y = 3x2 Prime denotes derivative WRT x. (Hint: guess a P.S. yı = Axa)
I need help with question's 1 and 2 T2-1 (20 Points): Find the P.S. of the IVP: x2 + 2xy + y2 y = 1+ (x + y)2 y(x = 0) = 4 Primes denote derivatives WRT X. T2-2 (20 Points): Find the G.S. of the DE: xy' + y = 3x2 Prime denotes derivative WRT x. (Hint: guess a P.S. Yı = Ax")
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...
--- T2-1 (20 Points): Find the P.S. of the IVP: x2 + 2xy + y2 1+ (x + y)2 y(x = 0) = 4 Primes denote derivatives WRT X.
Please answer 2 questions, urgent. !! SORU 20 Find the limit lim x+y-9 (xy)=(2,3) Vx+y-3 OB. No limit (mevcut değil) OC OD OE 0 SORU 21 y 2 + at the point (-5,5,-5) in the direction in which the points Find the derivative of the function f(x,y,z) = - + function decreases most rapidly. Y . OB. OD.
4. Let f(x, y) = 2 - 2x – y + xy. (a) Find the directional derivative of f at the point (2,1) in the direction (-1,1). [2] (b) Find all the critical points of the function f and classify them as local extrema, saddle points, etc. [2]
-y-2x 2+2y de If - 1 + xy + y2 + x2 = 0 and it is known that day find all coordinate points on the curve where x = -1 and the line tangent to the curve is horizontal, or state that no such points exist.
consider the Riccati equation y'=p(x)+q(x)y+r(x)y^2. If a particular solution y1(x), show that the general solution y(x) has the from y(x)=y1(x)+z(x); where z(x) is the solution of the bernoulli equation: z'-(q+zry1)z=rz^2 Use this technique to find the general solution of the equation, y'=y/x+x^3y^2-x^5. (Hint: Verify that y1(x)=x is a particular solution)
Please find and classify all the critical points for Q19 and Q20 5-20 Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function 5. f(x, y) xy y + y 6. f(x, y)-xy 2x 2y x-y 7. f(x, y) x-y)1 - xy) 8. f(x, y)y(e- ) 9. f(x, y)-x y* + 2xy 10. f(x,...