(f) Use the complete square form obtained in (d) to solve 3z- 6z 1= 0.

Q: Solve Cauchy-Euler equation. a2y"-2y 2x %3D

A: (1) The equation is, x2y''-2y=2x Take y=xm Then take the derivative, y'=mxm-1 Take the derivative…

Q: solve for into the in the first equation; then substitute gnd equation. Then use quadratic formula…

A: Consider the equations  x+y=12xy=52

Q: Solve second order DE  16y"-8y'+5y= 0

A:

Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

A:

Q: Determine the roots of the equations using iterative methods with initial values of 1. 2x + 6y + 3z…

A:

Q: Obtain the general solution to the equation.

A: dydx=yx+5x+9dydx-yx=5x+9Integrating factor If=e∫-1x dx                                =e-ln x…

Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is…

A: Introduction :

Q: Determine the roots of the equations using iterative methods with initial values of 1. 2х + 6у + 32…

A: Gauss-Seidel method is used to approximate the solution of a system of linear equations by…

Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support…

A: The given differential equation is…

Q: Determine the value of bb so that 4x^2+bx+49is a perfect square

A:

Q: Solve using the method of variation of parameters: y" + 9y = 12 sec 3x. %3D

A: Solution :-

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

A:

Q: Solve 6x^2-2x+1=0 using the quadratic formula while finding both the Xs. (Show work)

A:

Q: Solve 6x^2-2x+1=0 using the quadratic formula while find both of the Xs. (Show work)

A:

Q: Solve the roots of the equation f(x)=-0.5x^2+2.5x+4.5 a.With the Graphical Method b.Using…

A: Here, we need to find the roots of the equation f(x)=-0.5x2+2.5x+4.5. For (a), Graphical Method:…

Q: 9. Solve for y, showing all work: 12x – 4y = 20

A: Using algebraic operation

Q: Solve the equat on by completing the square 2. %3D

A:

Q: (1- х?)у' — ху%3D 3x(1 — х?)

A:

Q: solve in R the inequation Vx +4 < x + 2

A:

Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

A:

Q: Solve using the method of variation of parameters 1 у" + Зу' + 2у 1+ e*

A: Using method of variation of parameters

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given: d2ydx2-dydx=-8x+3.

Q: 2. Explain how you would use each method to solve the equa- tion x? – 4x – 5 = 0. (a) By factoring:…

A: The solution of the quadratic equation of the form ax2+bx+c=0 can be calculated by using integer…

Q: 1. (1-х)у' %3D у?

A:

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

Q: b, Solve dy- y -n3y²--x5 finding particular solution.

A: Solve DE

Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: Find the quadratic equation of the equation given the root Give the solution. -4+3i -4-31 and

A: The formation of a quadratic equation when its roots are given. x2 - (sum of the roots) x + product…

Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

A:

Q: solve in R: (x)-1" = (z-1)² 2x+1 %3D

A: The solution of the equation, f(x)=g(x) can be obtained graphically. The point where the graph of…

Q: The square on quadratic equation  1/3 x2 - 4x + 16

A:

Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminant indicate about the number…

A: Given: 4x2-8x+1=0

Q: X-zy+13=0 y - 4x =17

A: The given equations are x-2y+13=0 or x-2y=-13.....(1) y-3x=17 or 3x-y=-17.....(2)

Q: ) By completing the square,solve the quadratic equation 4.6y² +3.5y-1.75 = 0 correct to 3 decimal…

A: This is a problem of quadric equation. First we will convert given equation into simple form and…

Q: 5. Give an equation, for y = v4 – x2 compressed vertically by a factor of 3 %3D

A: We know that when the graph of f(x) is compressed vertically by a factor'C'.  Then the transformed…

Q: Solve using the method of variation of parameters y" + 3y' + 2y =: 1+ e*

A: Given that: y''+3y'+2y=11+ex

Q: Solve the dff oq dy 3x寸票-5-2 %3D

A:

Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

A:

Q: %3D y +y = x2sin(2x) solve using undetermined coefficient only.

A:

Q: 2. y' %3D 1 + 6хе*+у

A:

Q: dy 1. (y–1)(y² +1)

A:

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A:

Q: Solve (D - 4D +4) y = 8xe2* sin 2x

A:

Q: -1+ 2x 11 If PR = 3x + 3, solve for x. %3D Our answAwer R.

A: PR=3x+3   PQ=-1+2xQR=11