13. Of the following, which are solutions to the differential equation y"-6y+8y 0? 1. y=2 sin(4x) 2. y = 3e2 3. y = Ce, where C is a constant. %3D A I only B) Il only III only Il and III only D.

Q: 31-Which of the following is the y(0.5) value of the y'= x - y differential equation satisfying the…

A:

Q: Consider the differential equation given as y" – 6y/ + 9y = t-3,3t y (1) = e and y (1) = 0 Which…

A: Given: y''-6y'+9y=t-3e3t Auxiliary equation is m2-6m+9=0m2-3m-3m+9=0m(m-3)-3(m-3)=0m-3m-3=0⇒m=3,3…

Q: What is the general solution of the differential equation y" + 4y = cot 2x? Oy=G coe 2 +Gn 2-ain 2e…

A: variation of parameters, suppose it is desired to find a particular solution of the equation y″ +…

Q: 14. Solve the differential equation dy dt y y(0)=1 by the Euler method with h=0.1 to get y(0.2).…

A:

Q: For the second-order differential equation y" + 9y = 6 cos x: a. Show that y = cos x is a solution.…

A: The given differential equation is: y''+9y=6 cos x

Q: 39-Which of the following is the y(0.2) value of the y'= x + y differential equation satisfying the…

A:

Q: [The following initial value problem is defined with an exact differential equation. If the solution…

A: The differential equation (18xy2+αx2y)dx+(18y-4x)x2dy=0 Note: The differential equation…

Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9*…

A:

Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

A: Given,  In a certain company, the relationship between the price per unit P and the weekly sale y,…

Q: 5. In the differential equation 2.xydx+(y² – x dy=0, what is 1 (OM ON M dy

A:

Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

A: We will find the Differential equation.

Q: Find the explicit particular solution of the differential equation for the initial value provided.…

A: 1.Explicit relation : y = f(x) , No 'y' on the Right-hand side of the equation.  2. Particular…

Q: ду 9. The differential equation (3ycos.x+4xe" +2x'e" dx+3(sin x+1)dy 0 is exact because ON 10. The…

A:

Q: For what values of C1 and C2, the function y=Cje+oe satisfies the differential equation-y-0 subject…

A: Given differential equation is  y" - y = 0

Q: sinh(3x) +1 y = 3 6 sinh(3x) – 1 y = 6 2 sinh(3x) – 1 y = O y = sinh(3x) O y = sinh(3x)+1

A:

Q: ll. SOLVE THE FOLLOWING BERNOULLI'S DIFFERENTIAL EQUATIONS. (SHOW YOUR COMPLETE SOLUTION) dy 2 4.…

A:

Q: Which of the following is the singular so lu tion of the differential equation y = xy' – 3(y')² – 2…

A: The given differential equation is                     y=xy'-3y'2-2 ⋯⋯⋯⋯ (1) To find singular…

Q: dy - 4sin( 2x) and y=2 when *=. What is the particular solution to the given differential equation?…

A: Topic = Differential equation

Q: From the list below find the only differential equation that has both functions ₁(t) = e²t and y2…

A: Given solutions of differential equation are y1(t) = e2t ,   y2(t) = -2e2t

Q: y' = 2y + x(e3x – e2x) y(0) = 2 %3D

A: To solve the following problem by 4 step   Find yc Find p.i. yp  The general solution = yc + yp…

Q: 1 Obtain the particular solution for the following differential equation if y(n) = 1 (3x? + ycosx)dx…

A:

Q: Find the particular solution to the differential equation: dy dx 3x2 cos? y. Solution passes through…

A:

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: First I have made the differential equation into variable seperable form and then solved them.

Q: Find the general solution of the second order differential equation dy dy 10 +24y 0 dar dr?

A:

Q: Obtain the general solution for the following differential equation using Separation of Variables…

A: Using method of seperation of variables

Q: 16. What is the particular solution of the linear differential equation y' +y = sec e", whose…

A: The solution is given as

Q: Show that an implicit solution of 2x sin?(y) dx – (x² + 17) cos(y) dy = 0 is given by In(x2 + 17) +…

A: To find- Show that an implicit solution of 2x sin2y dx - x2 + 17 cosy dy = 0 is given by lnx2 + 17 +…

Q: 4. Solve for the general solution of the differential equation using homogenous equatiorn [x cos?…

A:

Q: THE

A: Please refer to the image below

Q: 6. Find the general solution of the following differential equation using variation of parameters.…

A:

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: What is the particular solution to the differential equation [x+(1+x)y] = 12 with y = 0 and =0 when…

A:

Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

A: Given differential equation is  [2x+ycos(xy)]dx+xcos(xy)dy=0

Q: The general solution to an inhomogeneous second order differential equation is: y = Aer + Bent +ae*…

A: Given problem:- The general solution to an inhomogeneous second order differential equation is:   y…

Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

A:

Q: Let y = Cre". For which values of C is y a solution to the differential equation y" = y+4e#?

A:

Q: Which of the following functions form a particular solution of the differential equation y"+y = sinx…

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

A: Solved below

Q: Q2) consider the following 2nd order differential equation: ÿ - ý -y = 2e* y(0) = 0, y(0) = 0 ,h =…

A: We can solve this using Euler predicate formula

Q: Select the general form of a particular solution for the differential equation y" + 4y =5 cos(2a). O…

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

A:

Q: If the RHS (Right Hand Side-the source) function of a second-order differential equation with a…

A: We have to solve given problem:

Q: y – 2)dx + (3x – y)dy = 0

A:

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: [The following initial value problem is defined with an exact differential equation. If the solution…

A:

Q: 2. Find all values of r for which y = e™ is a solution of the second order differential equation y"…

A:

Q: Which one of the following differential equation is exact? a. 3x² In4ydx + dy = 0 4y 7x In 4ydx + dy…

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Q: 2 sin x Show that y is the solution of the differential equation xy'+y=2 cos x.

A:

Q: 4 =z² and the initial condition y(1)= a, what is the dr Given the differential equation (2+2) ?…

A: As per guidelines, We will answer only first one question if others was not specified.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.