In the equation y = ax^2 + bx + C, eliminate the arbitrary constant O y'- 3y' = 0 O 2xdy - ydx = 0 O y' = 0 O y' = y' + y

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: '= -x+y - 8

A:

Q: Eliminate the arbitrary constant in cy^2 = x^2 + y. *

A: To eliminate the arbitrary constant in the given equation.

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: dy −2r — 9 (a) Show that = dx x + 2y (b) Find the two points where the curve given by the original…

A: Given- Consider the equation x2 + xy + y2 = 19.  To find-  Show that dydx = -2x - yx + 2y.  Find…

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: =a(x-1)^2+2 passes through the points (10,-160) A=

A: NOTE: Refresh your page if you can't see any equations. . the point (10,-160) is on the graph so…

Q: Linearize the non-linear equation: 1. y=c+ax^n

A:

Q: Solve (D^2+2D-1)y=0

A:

Q: Eliminate the arbitrary constants: x^2y=1+cx

A: Introduction: The anti-derivatives of a function can be found using integral calculus. These…

Q: Solve (2x^2y +y)dx+xdy =0

A:

Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3