y"+ y= sec'r 4 sec*x %3D

Q: dy-Jy cos Jy COS

A: Differentiation formula: ddxx=12x Trigonometric proprty: secθ=1cosθ Integration formula:…

Q: dx (2) S V9-x² E(Ctrl) X. 2x sin-1(구)+ sin-1 (민 + Option 1 Option 2 2x cos-1(민 + c CoS Option 3

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Q: Q:: If In /x2 + y? =sec(), use implicit differential to proof the following: - -x(²+y²). sec̟. tan?…

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Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

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Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: Find the general solution to the ODE using the method of Variation of Parameters: y" + y= cos² x

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Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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Q: y = [cosh(2x)]ot*( 1 cot-1 3 Vx

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Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: In each case, derive the general solution. When a boundary condition is also given, derive the…

A: The differential equation is given by xdydx-y=x4sin x   …(1) We need to find the general solution of…

Q: Solve dx dy for y= sec (In x) In (tan x)

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Q: That question please

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Q: dy tan tan x = 0 dx coscos x +

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Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given a(t)=cos t Integrating with respect to t to get velocity function, vt=∫atdtvt=∫cos t…

Q: Find the differential dy of the given function. Y = 5x+(sin(x))^2 Dy=?

A: Topic- differentiation

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: solve the IVP x(1-siny)dy=(cosx-cosy-y)dx y(π/2) =0

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Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

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Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

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Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: y + sinx cos2(xy) cos (xy) Ex. 13. Solve dx + %3D .cos?(xy) + siny ) dy = 0. CS Scanned with…

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Q: Find dy/dx of y=sin-!x+cos -!x dy/dx is Blank 1.

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Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: Find the solution of the equation in the interval 0"sx <360 1. cos x+) 3 = - cos x +T3%3D

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Q: Find the linear approximation to h(y)=sin(y+1) at y=0. Use the linear approximation to approximate…

A: Recall that the linear approximation of a function y=f(x) at x=a is given by y=f(a)+f'(a)(x-a) Here…

Q: 3. (x² – xy + y²)dx – xy dy = 0

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Q: Find the linear approximation to h(y) = Sin(y+ 1) at y =0 Use the linear approximation to…

A: This is a problem of linear approximation.

Q: 11. Put the following equation in separated form, do not integrate. dy с. = sec (y)e*-y(1 + x) dx

A: A detailed solution is given below.

Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second.…

A: Given Take derivative with respect to t, derivative of y is dy/dt  and derivative of x is dx/dt

Q: From the figure formed in integrating -dx, what is the term or value that is adjacent to the angle…

A: Given:    ∫x2-3xdx

Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

A: We have to find I.F

Q: 2. Solve for general solution using exact method. (cos x cosy – cotx) dx – sinx siny dy = 0 %3D

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Q: (2x sinh2 + 3y cosh?) dx – 3x cosh dy = 0 |

A: Concept Used: For  y'=f(x, y)   ...(*)If f(hx, hy)=hn f(x, y)Then (*) is homogenous equation of…

Q: (3tan x – 2cos y ) sec 2 xdx + tan x sin ydy = 0 %3D

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

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Q: A particles velocity is 7 cos(2t) meters per second. at time t=0 its gone  2meters, where is it  at…

A: The velocity of the function is given as:

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin…

Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x + (sin(x))² dy = Need…

A: The solution is :

Q: sin³€ dt to ylomeldon 3.

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Q: Q:: If In/x2 + y² =sec(), use implicit differential to proof the following: - -x-(r+y?). sec. tan…

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = C₁cos (0)…

A: Sol:- While solving the question , initial θ is considered as 't' At the end , we will replace t…

Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: 1) S 2 sec y (tany – sec y) dy

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

Q: Find the differential equation by eliminating the arbitrary constant/s. e COsX = c(1 – cos y) %3D

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Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.