EX. Use Euler's method (modified) to approx; mad e y' = x+y for yC1) = 1; h=o.1,15X<2 心ふ 14 withe aecuracy of € =10"

Q: (2) cothx-1=csch?x %3D

A: To prove that  coth2x - 1 = csch2x

Q: (x-a)? + y? = a? -> eliminate arbitrary of constant

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: X~N(40,?2) and P(X>50) = 0.119. Find the value of ?.

A: From the provided information, Mean (µ) = 40 Variance = σ2 X~N (40, σ2)

Q: t-1 dt

A:

Q: 4 1 An object is traveling at a steady speed of 95 mi/h. How long will it take the object to travel…

A: speed=distance travelled Time taken 1 hour=60 minutes abc=ac+bc

Q: 2. If y = xlnx,

A:

Q: If lnx = 700, find x.

A:

Q: Let D; = {x € R|-sxs}= [-}| for each positive integer i, find U-, Di %3D a. b. Ni- Di

A:

Q: Solve for x: 2log 2(2 x)=5 O A. 0 В. 1 C. 2/2 O D. 16

A: 1A.32 The given logarithmic equation is To find: x

Q: What is the value of x in the equation O x = = 2/²/² O x = 3²/ = 4¹/ O O x x = 6¹ -1/2 = 3 1/2 C

A: Please see the below picture for detailed solution.

Q: x'y' +3xy = 10xy y = +Cx-3/2

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 ............(1)

Q: find the ser fak Aren from the folloding 24x+32y+82-72

A:

Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

A:

Q: X tangent line 2.00 m 35.00 m 35.00 m

A: Let the length MY is y, so the radius of the circle is (2+y). Now apply the Pythagoras theorem,…

Q: 7) Solve for x: In(x + 3) = In(2x) %3D

A: The given equation is lnx+3=ln2x.

Q: .Find a reduction formula for ea* sin" x dx. Hence evaluate e* sin x dx. 3

A:

Q: If QR = y- 10 and SU = y - 17, what is the value of y? %23 U %23

A:

Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: 2 - ry + y + 1 1 y = +x - 1; y" =

A:

Q: 2. I cosh ix dx

A: The given integral is ∫cos14xdx. Evaluate the integral.

Q: Find Y = Coth 1 (x)

A: Given that y=coth-1x find dydx

Q: 3 For the equation +7x²y = 0, y(0) = ², the value of y(1) is dx

A:

Q: What is the value of x? Show your work. 163 69

A:

Q: 8. Find sec (30 deg), csc (225 deg),

A:

Q: 37. csc x = sin x ; use the Quotient Rule.

A: We will solve cosec x =1sin x - (i) using quotient rulewhich states that dydx=(dydu) (dudx)We will…

Q: 1. /2х— х2 dx

A: Given ∫2x-x2 dx The given term can be rewritten as ∫2x-x2 dx= ∫2x-x2-12+12 dx so we get…

Q: +y 2y=3e 12 y"-y=eX 93e

A:

Q: You regress height of husbands, in centimeters (Y) on height of wives, in centimeters (X) and obtain…

A: The given regression equation is: y^ = 37.75 + 0.83X We are given Xi = 150 and Yi = 170, and we need…

Q: b) Evaluate S e-2t sinht dt an

A:

Q: AC and XZ 119 111 B 6. AC XZ

A: Here 2 triangle are given and we have to find the unknown side of triangle and then find the…

Q: Find y" for y = -2(x²+6)3 y" = x

A:

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.