Given y₁(x) = x³ satisfies the corresponding homogeneous equation of x²y"+2xy'-12y = -10x + 48, x>0 Then the general solution to the non-homogeneous equation can be written in the form y(x) = Ax³ + Bx"+yp. Use reduction of order to find the general solution in this form (your answer will involve A, B, and x) y(x) =

Q: Eric invest $1050 every year in an annuity that pays six. Six interest compounded annually. Payments…

A:

Q: If i*** =i, where i = -1, then which of the following is a solution for x?

A:

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

A:

Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v…

A:

Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

A:

Q: Show the solution using methods of undetermined coefficient. The answer should be Y = C1et + C2…

A:

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

A:

Q: Solve the difference equation: 3 (²7) y[n+ 2] - n> 0 y[0] = 10 and Y y[n + 1] + y[1] = 4 n (1) ₁…

A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

Q: Q3/ Answer one from the following :- 1- Determine the general solution y(x) for the equation 2y" -…

A:

Q: What physical systems might the Chini equation, y*y' + f(x) = g(x)*y, represent? Can you tell me…

A: The Chini equation, given by  y∗y′+f(x)=g(x)∗y , appears in various physical and engineering…

Q: The functions y x +2x-3 and y=x-1 are graphed on the grid shown below. Which of the following is the…

A: The graph of the functions y=x2+2x-3 and y=x-1 are shown on the given grid:

Q: 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 1 2y = (2x+3) 2 In (2x+3) In(2x + 3) 3 y=…

A:

Q: Solve ylk + 2) + 2yjk + 1} + v[k] = 0 if y[-1] = 1, y[–2] = 1 %3D

A: Given,                            y[k+2]+2y[k+1]+y[k]=0                               ...(1)…

Q: Find the general solution of x2y" - (2a-1)xy' + a²y = xa+1 where a is a constant.

A: Given  x2y'' - 2a - 1xy + a2y = xa+1  ----------(1)           This is Cauchy's homogeneous…

Q: 1) Find the general solution of the equation x³y"" - 2x2y" - 4xy' + 8y = x² + lnx.

A: In this question we will find the general solution of the differential equations.

Q: Solve the following DE using the method of undetermined coefficients: a. y"-3y'+2y= 20xe3x b.…

A: a) y''-3y'+2y=20xe-3x Auxiliary equation m2-3m+2=0 m2-2m-m+2=0 mm-2-1m-2=0 m=2,1 yn=C1ex+C2e2x and…

Q: Solve y"-2y"-5y'+6y=0 general solution y(x) =

A: solution of the given problem is below...

Q: Given the points (-10,5) and (1,4) find the slope

A: Given: The points are -10,5 and 1,4. To find: The slope by using the given points.

Q: 1) Find the general solution of the equation x³y" - 2x²y" - 4xy' + 8y = x² + Inx.

A:

Q: Apply the method of undetermined coefficients to find a particular solution : x'=9x+y+2et…

A: Corresponding coefficients matrix isA=[91−8−2]The characteristics equation of A…

Q: Solve the equation 2 x " y " + 3 x y = (1 + x ) y = ху - which has a regular singula Point x = 0.…

A: Here both p(x)=32xand q(x)=−1+x2x2 aree non analytic at x=0 so 0 is a singular point. But both…

Q: Find the general solution of (y-zx)p+(x+yz)q=x2+y2

A:

Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: If r2+ 2r –1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients,…

A:

Q: 1 (d) Last week, Amy walked a median of 7.5 kilometres each day. 1 kilometre = 0.6 miles The table…

A:

Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

A:

Q: ii) y" - 3y'-4y = 2x2-3.

A: