Find a solution 11. xºy(3) – 3x²y" + xy' = 0 (use a substitution v In...
3. Find the general solution of the homogeneous differential equation. x y = xºy - 4y
6. Use Euler's method to approximate the solution to y'= xºy - y at x = 1.2 when y(0) =1. Use a step size of h= .1.
6. Use Euler's method to approximate the solution to y' = xºy - y? at x = 1.2 when y(0) =1. Use a step size of h=.1.
25.0 The solution of the differential equation 3x?y* + xy + y = 0(x > 0) is the function y(x) = C, y(x) + C, Y.(x). Find y, (x) and y(x). Also, find the constants, and if y(t)- 2. y1)-2. O A. y. V2 COS Y;x) .6, -2,6-2V2 4.-2,6--2V2 ΕΕΕ OC. y. - 00.30He com mo).wow - 25 m (12 moco). -(02) 6.-2,0-2v3 Us confic). -* [* mc) LK oots To C) In(x)) (x), -2,4,-- ODY,00 -
Which of the following is solution for (x^2 + y^2) dx +2xydy= 0? xy^2+1/3x^3=c x^2y+1/3x^3=c xy^2+1/2x^3=c x^2y+1/2x^3=c
13. Consider the differential Equations y" + xy + 3x²y =0. a.) Use the power series expansion about Xo=0, y = { anx", to find the recursive formula. MO b) Find the first 4 terms of the general solution. You do not need to seperate y, in terms of ao and Yz in terms of ai
Obtain the general solution to the equation. (x2+4) dx + xy-3x=0 The general solution is y(x) = 3, ignoring lost solutions, if any.
Let y' + xºy=0 and let y= 2 Cox". n=0 a Find the recurrence relation of y' + x3y=0 b. Find a solution of y' + x3y=0
3. Use the transformation u = xy, v = y to evaluate the integral ∫∫R xy dA, where R is the ay region in the first quadrant bounded by the lines y = x and y = 3x, and the hyperbolas xy = 1, xy = 3
9. Use the method of Frobenius to find a solution of 0. about the singular point x xy "+ (1 + x)y' 0. y 16x n 0 9. Use the method of Frobenius to find a solution of 0. about the singular point x xy "+ (1 + x)y' 0. y 16x n 0