Solve th e following problem (1): y'+y'-2y= 0; (2): y" -6y'+9y 0; (3): y"-10y'- 24y 0; |(4): y"+4y'+5y = 0; %3D

Q: 10. (8x)" W 39xt (21x -12) mWX = mYW = mYX = (10x + 9) MVXW = Gina Won (A Things Aigebra, uC,…

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Q: Differentiate. y = In [(x + 6)* (x + 7)® (x + 3)5] d [In [(x +6)*(x +7)® (x + 3)°]] = ] dx

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Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

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Q: on f(x, y) = 3x + 9y subject to th %3D

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: (x"^y2/5)20 1/4 2/5 (x' (2) 2

A: since you have asked multiple questions in single request so we will be answering only first…

Q: -4x y"+6y'+9y=7+

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Q: Graph. -2x - 1 if x 1

A: The given function is f(x)=-2x-1;  if   x<-1        1    ;  if-1≤x≤1    2x-1;  if   x>1 Obtain…

Q: 1. y = 4* y = 1. • 3* %3D 3. f(x) = 3*+ 1

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Q: 4 y'+− y = 2; y(1) = −4 {y= X 2 = 5 -x-- 22 X 5

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Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: integral to give the mass of the tetrahedron :

A: The given integrated integral is ∫06∫03-x2∫02-x3-2y38xyzdzdydx        ......(*)

Q: 9. (x+ 3)(x – 6) = 10 %3D

A: Our Aim is to solve the equation given below for x:-(x+3)(x-6)=10 -(i)

Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: 353. y = x-1/2 (x² + 3)2 (3x – 4)ª

A: First, we expand the given expression using properties of logarithm

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.