Solve the homogenous SOLDE. (Characteristic equations, real, distinct root) y(o) = -6 ; y'(o) = -18 a.3y'' + 2y' - 8y = 0

Q: 2x-5=x+7. Where do I begin when solving this analytically?

A:

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

A:

Q: xux-yuy+y2u=y2x find the general solution

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

A:

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

A:

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: Find the general solution of the equation a. y= cx* b. y= ex* +xs C. x*y =c d. xty =x+c

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1,300 -0.005x² -0.01y,…

A: Suppose you are climbing a hill whose shape is given by the equation z=1300-0.005x2-0.01y2, where…

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

A:

Q: (D3+ 4D²+9D + 10) y= - 24e* when x=0, y=0, y'= - 4, y''=10

A:

Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve (1) 5-3x 2. (2) 4. 2 3 y-31 y-5 2 5 (3) 2. 4 4)

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: (a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8,…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: 22 (2y + xy² ) = √7 + (y)²

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

A:

Q: . Find the coefficient of z, z' and z' in the following expressions. (-1)*z* (4k-1)! (k+1)

A:

Q: When displaced electrons oscillate about an equilibrium position the displacement x is given by the…

A:

Q: Solve this Differetial equation: (x+1)y'' + (x+2) y' = 2x Please provide a complete solution!…

A: x+1y'' +x+2y' =2x