1 /2 3 7 . m<3 = (x + 40) m<5 = (x- 40)° m<6 = (y)° %3D %3D %3D UD 00

Q: alue y(0) e of y(0.1) es)

A:

Q: Step 1 Given :x+ y = e2x + 2y -> Step 2 X + y = = e2x +2y di f ferenciate wrt x thenl - %3D

A: Let's find.

Q: 9 (1 + In xy) dx + (1 + x/y) dy = 0; x > 0, y > 0

A: Given diffrention equation in the form of Mdx+Ndy=0  So  first check it  is exact differential…

Q: Find y in terms of x. dy 4 dx =x* (32-x), curve passes through (2,9) The solution is y =

A:

Q: 6. (2x + 3y)dx + -x)dy 0 %3D

A: Consider the given equation as 2x+3ydx+y-xdy=0

Q: [+]。 + y² = 0 Ans:Order3 degree2, ordinary, non-linear d³y (4) +4 dx3

A: Given differential equation is d3ydx3 + 4dydx3 + y2 = 0

Q: Q.1/ For the right triangle shown in the figure below, if (x) is increasing at a rate of 2 cm/sec…

A:

Q: e the following nth-order equation using the variation of parameter method: y"-3y"+3y'-y=

A:

Q: G YA PAZ E X F 7. PZ = 5 and GY 12. Find GP. (purple) %3D

A:

Q: | (2x - y) dx + (x + 9y) dy. Ic Evaluate C: x-axis from (0, 0) to (0, -9) and (0, -9) to (5, -9)

A: We can solve as follows

Q: dx 3.The f to be solvable must be converted to, х2-5х-6 1 а. dx 1 dx - х-6 x+1 1 b. dx 1 dx - - x+1…

A:

Q: You are given a first-order D.E. = x2 + y³ . Suppose the solution y(x) satisfies the initial dx…

A: dydx=x2+y3  and y1=-1

Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: The graph below shows the total distance s, in miles, traveled by a bicyclist after t hours. 40 mi…

A: To answer the given question about the average velocity and instantaneous velocity from the graph.

Q: h 2, k -1 and r 5 %3D (x - h)2 + (y- k)2 = r2 %3D %3D wwww x2 + y2 +Dx +Ey + F 0

A: Given:- h=2, k=-1 and r = 5 To find:- Equations of circle in form (x-h)2+(y-k)2 = r2  x2 +y2…

Q: =0 for a particular stationary point, then the ôxôy 13.Given that stationary point is 2x+1 14. dx =…

A: according to company rule we can answer only first question and rest can be reposted

Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…

A: Solve the following

Q: [2y - (y2 - 15) ]dy -3 В. 5 2ydy + J [y2 - 15]dy -3 с. 5 J [G? - 15) - 2y]dy -3 D. 10 J (2y- (y2 -…

A:

Q: approximate Hhe defisike ly kegread 0-4 2e XF4=x² corve ct ro y decimal places

A: We need to evaluate the integral ∫0.10.42e-x2x4-x2dx. For this, we will show that…

Q: 4. dx + 2x = 2 x²y²dy %3D

A:

Q: S(t)=t°-3tー+5 find accelercstuon of the purticle at t=1.

A: Here s(t)=t6-3t2+5 We have to find the acceleration at t=1.

Q: A fluid initially at 100°C is placed outside on a day when the temperature is –10°C, and the…

A: NOTE: Refresh your page if you can't see any equations. . newton's law of cooling is given by…

Q: (* -) dz if y = Find the particular solution for dy = when x = 0. | x +1 Answer and Work Explanation…

A: We have to find the particular solution of the given initial value problem dy=x2-1x+1dx with the…

Q: Which of the following gives the length of the graph of x = y3 from y = - 2 to y=2? 1+y° dy |1+9y*…

A: sol given   x= y       y = -2 to y = 2   arc length = ∫y =ay= b 1+ (g1 (y)2 dy

Q: a/4 32. The value of xcos(x') dx correct to three decimal places ( assuming that p = 3.14 ) is

A:

Q: Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three…

A: Given: y=5x-4x+2; x=5;△x=-0.03

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

A:

Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

A:

Q: y''+3y'-10y=0, y(0)=k,y'(0)=5   Find value of a so soultion of the IVP approaches 0 at t ->…

A:

Q: 3x3 d'y If y = + find dy and dx (a) 3 2 dx2 (b) If f(0) = 4 cos 30, find f'(0) and f"(0) and…

A:

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

A:

Q: Identify the equation as linear or nonlinear. Give the order. dy + y. 1 dr dz O 2nd order O…

A:

Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

A:

Q: ii- Using Solution by Variation of Parameters find y" + y = sec x = using: ccs x Yp(x) = -y, 2" W…

A:

Q: | (2x - y) dx + (x + 7y) dy. Evaluate C: x-axis from (0, 0) to (0, -7) and (0, -7) to (4, -7)

A: x-axis from 0,0 to 0,-7 indicates that interval of y is from 0 to -7 y-axis from 0,-7 to 4,-7…

Q: 0.8 Evaluate e* dx using-trapezoidal rule by breaking it into 5 intervals. 0.3

A:

Q: Using Eulers methot: estimate Y (0.3) with step size 6=0₂1 dy given 1/2 =€ +24₁ 4(0) = 1 Solve the…

A: Given initial value problem is dydt=t+2y, y(0)=1 and step size is h=0.1 We have to calculate y(0.3).…

Q: 5. Solve y' = x² + y, find y(0.1) by talking step size h = 0.1 given that y = 10 at x = 0 %3D…

A:

Q: dy +p(x)y = Q(x)y" dx Bernoulli equation .B Exact Equation .C

A: Given that  dy/dx+p(x)y=Q(x)y^n To find the type of equation

Q: Ex:Salve the d.fferential equation (3x-y-1)dx-(X-y+3)dy-o

A: A function f(x,y) is called a homogenous function of degree n, if it satisfies the condition…

Q: Differantial equations 4 questions   (dy/dx)+(y/x)=(x/y^3)

A:

Q: The temperature T in a square region of the (x, y) plane is given by the formula T(x, y) = 2 y – x +…

A: To find- the steepest descent in temperature.  The curve the ant should move is At=xt, yt. This…

Q: 2. Matter cools governed by = -k(T – B) where ß is the dt temperature. Clearly T(0)=25 degrees and…

A: Given, dTdt=-kT-β where β is the room temperature, i.e. surrounding temperature. Newton's Law of…

Q: cost). 18 Compute r''(t) when r(t) = (t°,9t, cos

A:

Q: Submitted 1/1/22, 7:20 PM (UTC+8) 2 Question scores appear after all grades are posted Question4 dy…

A:

Q: The Method of Variation of Parameters (3) y" + 4y = sec x

A:

Q: dy at x= -2. 1 If y =-,, find xp dy at x= dx - 2 is 1 The value of . (Simplify your answer.)

A:

Q: 4. Find the first and second derivatives of the following: a y = ecosz d g(r)= 3re3 b. f(r) = (ax +…

A:

Q: dy 2x+y 9. Find the general solution: 2 dx x-2y a. secx + tan y = c b. xy" – y' = 0 с. х — ху +у?…

A: