Solve the initial value problems by a power series (x-2)y’=xy, y(0)=4
4.6 (20 pts) Solve the initial value problems for the Bernoulli equation. (a) xy+y=x*y; y(1) = 1/4; (b) xy + 3y = rºy?, y(1) = 1/2.
Question 4 < > Solve the initial value problem below. x+y'' - xy' + y = 0, y(1) = – 5, y'(1) = 0 y
Use the power series method to solve the given initial-value problem. (Format your final answer as an elementary function.) (x - 1)y" - xy + y = 0, 7(0) = -4, 7(0) = 2 y = 2x - 40 X
The power series solution of the Initial-Value Problem (IVP) (x² + 1)yl + xy + 2xy = 0 y(0) = 2 is given by y(0) = 3 4 13 325 2 y=2(1 + + :). 2 + + 3 20 6 2 2125 y= 2 + 3x + +. 6 2 4 23 3.25 y = 32 =3(< + + -) +2 (1 + + :) 3 20 6 2 7.23 21.25 y= 2 + x + + + +......
The power series solution of the Initial-Value Problem (IVP) (x² + 1)yl + xy + 2xy = 0 y(0) = 2 is given by y(0) = 3 4 13 325 2 y=2(1 + + :). 2 + + 3 20 6 2 2125 y= 2 + 3x + +. 6 2 4 23 3.25 y = 32 =3(< + + -) +2 (1 + + :) 3 20 6 2 7.23 21.25 y= 2 + x + + + +......
Question 8 (10 marks) Solve the following initial value problem by means of a power series about the ordinary point x=0 y" + 3x?y' + xy = 0, y0)=2, y0) - 6 Find the recurrence relation for the coefficients, and also find the first five non-zero terms of the power series solution
Use the power series method to solve the given initial-value problem. (Format your final answer as an elementary furtction.) (x-1)y"- xy+ y = 0, y(0) =-4, y'(0) 5 3 + 12x2 y Need Help? Read It Talk to a Tutor
1) Use the power series method to solve the given initial-value problem. (Format your final answer as an elementary function.) (x − 1)y'' − xy' + y = 0, y(0) = −2, y'(0) = 6 y=___________________
Question 4 < > Solve the initial value problem below. xʻy" – xy' +y = 0, y(1) = – 5, y'(1) = 0 =
2. Use the power series method to solve the following initial-value problem: y" + 2xy' + 8y = 0 with y(0) = 3 and y(0) = 0.