(1 − ? ^2) y" - 2xy' + 2y = 0 ,
Y1 = x
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Reduce the following differential equation to first-order and solve it.
Use the reduction of order method to solve the following problem given one of the solution y1. (a) (x^2 - 1)y'' -2xy' +2y = 0 ,y1=x (b) (2x+1)y''-4(x+1)y'+4y=0 ,y1=e^2x (c) (x^2-2x+2)y'' - x^2 y'+x^2 y =0, y1=x (d) Prove that if 1+p+q=0 than y=e^x is a solution of y''+p(x)y'+q(x)y=0, use this fact to solve (x-1)y'' - xy' +y =0
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). y'' + 2y' + y = 0; y1 = xe−x y2 =
1. Solve by making a substitution to reduce the given second order De to a first order DE. 1. x? y" + 2xy' - 1 = 0, x>0 (ans. y = Cix-1 + 2 + In x) 2. y" + y(y')} = 0 (ans. 1/3 y3 - 2c1y + C2 = 2x) 3. y'y” = 2, y(0) = 1, y'(0) = 2 (ans. y = 4/3 (x + 1)3/2 - 1/3)
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
The indicated function yı() is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y2 = vy() / e-SP(x) dx dx (5) y?(x) as instructed, to find a second solution y2(x). x?y" + 2xy' – 6y = 0; Y1 = x2 Y2 The indicated function yı(x) is a solution of the given differential equation. 6y" + y' - y = 0; Y1 Fet/3 Use reduction of order or formula (5) in Section...
The indicated function y_(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx dx Y2 = Y1(x) >> (5) y? (x) as instructed, to find a second solution y2(x). x?y" + 2xy' – 6y = 0; Y=x2 Y2=
Struggling with this
differential equations problem. Can't find the integrating factor
to continue
Solve the equation. (4x2 +2y+ 2y2dx + (x + 2xy)dy 0 An implicit solution in the form F(x,y) C is by multiplying by the integrating factor C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.)
ther question will save this response. Question 9 The solution of the equation for the differential equation x?y" - 2xy' + 2y = 0 is Select the correct answer. a. y =Cjx+car? | b. y= x+c xinx 1+vs. c. y = cx 2 +Cax v31nx )+carż sin( 731inx d.y=Cjx-cos
transform the given differential equation or system into an
equivalent system of first order differential equation
x"+3x²+48-2y=0 y"+24'-3x+y = cost
please solve number 4
Problem No.1 Solve the following first order differential equations by finding: a- Homogenous solution a. The particular solution b- The total (complete) solution for the corresponding initial conditions. Note: Answer all questions clearly and completely. 1- y' + 10y = 20; y(0) = 0 2- 4y' - 2y = 8; y(0) = 10 3- 10y' = 200; y(0) = -5 4- 2y' + 8y = 6cos(wt); y(0) = 0. Let o = 12 rads/sec.