Find the homogenous linear equations of the following. y = 3e2xsin(3x)

Q: Determine whether the given equation is linear. 1+1 x +1 O linear not linear

A:

Q: хdу + (1 — 3х)ydx %3D Зxdx

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3…

Q: - Find the linear equation that satisfies the following: f (3) = 10 and f(5) = 24 %3D I

A:

Q: Solve the following IVP for the 2nd order linear equations        y′′−4y′+9y=0 y(0)=0 y′(0)=−8

A:

Q: 1) Write the linear equations that are perpendicular to the linear equations given. a) 4x + 3 = 3y…

A: We will solve the following equation and find the slope.

Q: Rewrite the given linear equation into the standard form of the equation of the line. 2x = 5y + 4

A:

Q: find the general solution of the given equation. y'' - y' - 12y = 0

A:

Q: Find the roots of the linear equations using Crout's Method. 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 + 4X3…

A:

Q: Consider the following equations. y = -x2 + 2x + 1 y = -x + 1

A: Given: y=-x2+2x+1 and y=-x+1 To find the area of the region enclosed by the given curve. Let f and g…

Q: Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.

A:

Q: Find the general solution of the following homogeneous linear equations: A. (D5 +8D3+16D)y=0

A:

Q: Find the quadratic equation that fits the following set of data points. {(2, – 7),(5,29),(-1,11)}…

A: Given points (2,-7), (5,29) and (-1,11)

Q: (A): Solve the following linear equations by Crame x +y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: given linear system x+y+2z=12x-y-z=0x+2y-z=4 matrix form 1122-1-112-1xyz=104

Q: solve this linear equation using gauss seidel x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

A: The given equations are; x+ y−z=02 x−3 y+z=12 x+ y+2 z=7

Q: Find two linearly independent solutions of y" + 3xy = 0 of the form Yı = 1+ a3x + a6x® + · Y2 = x +…

A:

Q: (D² + D – 1)²y = 0 ,when x= y = 0 , y' = y'"'' = 1 , y" = -1 %3| %3|

A: Ghfd

Q: Find the solution set of the linear equation(s) in the following A. 2x- y² = 10 В. y =1 C. ex-y =5…

A: A. as degree is 2 . it is not linear equation.   B. as degree is 1 . it is linear equation.   C. as…

Q: Find the general solution of the following homogenous linear equations: 3. (9D²– 6D + 1) y = 0

A:

Q: Replace the Cartesian equation with equivalentpolar equations. x2 + xy + y2 = 1

A:

Q: xy''-(4+x)y'+3y=0, find the first four terms in each of the two linearly independent solutions about…

A:

Q: b) Find the solutions of the following homogenous linear equations with the use of equation 4.1.2 D…

A: 1) D3-6D2+5Dy=0We will simplify the auxiliary equation and find the roots.

Q: Find the general solution of the fifth order linear equation: y(6) – 6y(3)+9./ 0

A: First form the auxiliary equation and solve it for roots than write the solution with its help.

Q: Determine whether the equation is linear in the variables x and y.2xy − 6y = 0

A: To determine: whether the equation is linear in the variables x and y.2xy − 6y = 0

Q: Show that a linear equation dy a(x)- + b(x)y = c(x) d.x %3D is exact if a' (x) = b(x).

A: Given linear differential equation axdydx+bxy=cx.....1 We have to show that the given differential…

Q: Solve the system of equations, and graph the lines.

A: Given: y=2x+6y=-x+3

Q: Find the general solution of the given equation. y" - 3y'-4y = 0

A:

Q: 3. Find all of the equation. (а) у —х (c) y' = x Inx (e) y" = 2xe*

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: 1. (y-x+ xycotx)dx + xdy = 0 2. xdy + (1 – 3x)ydx = 3xdx

A: .

Q: Which table matches with the linear equation y =-2x 3? X-2 03 5 y -1 -3 0-8 X-2 -1 1 -1 -5 -11 4 -1…

A: In  the question it is asked to find the table which matches the equation y=-2x-3.

Q: Two linearly independent solutions of the equation y"+y - 6y = 0 are: Select one: а. e-31,e2t b.…

A:

Q: Eliminate the arbitrary constant on the given equation: y = C1e-2x + Cze2x

A:

Q: Find the general solution of the equation: xy – y = x²e=x (x > 0)

A: find the general solution of the equation xy'-y = x2e-x (x>0)

Q: Two linearly independent solutions of the equation y"+y - 6y = 0 are: Select one: а. et,e6t b. e-21…

A:

Q: Find a solution to the linear equation 9x+4y=−36 by filling in the boxes with a valid value of x and…

A: 9x+4y=-36 We need to find a solution to the given equation by filling in the boxes with a valid…

Q: If y = x2 is one solution of x2y''+2xy'-6y=0 and the other linearly independent solution.

A:

Q: Find the general solution of the given equation 2y''  - y' - 3y = 0

A: Given:              2y''-y'-3y=0   Solution:               We can solve this equation using :…

Q: Two linearly independent solutions of the equation y" +y - 6y =0 are: Select one: а. e-31,e2t b. e,e…

A: Two linearly independent solutions of the equation y''+y'-6y=0 are

Q: Rewrite the linear equation -4(x-) = *-(7y + 3) 3x-4 in the standard form of y = mx + c

A:

Q: Two linearly independent solutions of the equation y" + y - 6y = 0 are: Select one: a. e-61,e' O b.…

A: We will find out the required solution.

Q: Two linearly independent solutions of the equation y" +y' – 6y = 0 are: Select one: O a. -31 e2t O…

A: The differential equation is given by y''+y'-6y = 0 To evaluate: The two linearly independent…

Q: Find two linearly independent solutions of 2x²y" - xy +(-3x+1)y=0, x > 0 of the form y₁ =…

A:

Q: Determine the solution set of the following equations using linear equations of ydx+(3x-xy+2)dy=0?

A:

Q: . Eliminate the arbitrary constant on the given equation: y = x + Cje + C2e¯2x

A:

Q: Two linearly independent solutions of the equation y + y - 6y = 0 are: Select one: а. e-21,e3t b.…

A: We are given second order linear homogeneous differential equation with constant coefficient . To…

Q: Which of the following are first-order linear equations? y +x?y = 1 xy +y = e (b) y' +xy2 = 1 (d) xy…

A: To identify the first-order linear equations.

Q: (y')3 – y*(y + xy') = 0

A: The given equation is, (y')3-y4(y+xy')Let, y'=pSo, the given equation reduces to,p3-xy4p-y5=0 ---(1)…

Q: Two linearly independent solutions of the equation y +y-6y= 0 are: Select one: a. ete6t e 6t C. e-21…

A:

Q: Which of the following equations below is a linear equation? O y= x² + 1 O y = 8 - x3 O y = 7+ x3 O…

A: