2. given that y = 0 at r=1

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

Q: 24. Evaluate x² dx + yz dy + (y²/2) dz along the line segment C joining (0, 0, 0) to (0, 3, 4).

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Q: 1 5 X If y = - find dy dx at x = 2.

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Q: Determine the general solution of the following FOODE. [1] (x²+1)dy-2xydx=x(x²+1)y*dx (BE)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: Show that y(t) =t-2 ln t is a solution to ty"+5ty' +4y 0. (where t> 0)

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Q: х у? dy 1+ y6 ytx dt + t + t3 + (1 – z³)2 ( xy z? dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 4. Evaluate: S. yx²dx + xzydy + xz?dz, where C:x = sint, y = cost, z = t² , (0 <t< 1).

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Q: ²+ re" = 2y + e² %3D

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Q: 3. ex In y dy – y e` dr = 0 2 (In y) In y + e* = c In y - e+1 2 (In y)- e* = c

A: See the details solution in below

Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: If y = x3 – 2x2 + 3 and x = t² + 2 find dy at t=2. dt %3D

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Q: 4. Find dy and Ay for y = 3/ – I+ 2x at r = 2 with da = Ar = 0.2.

A: Consider the following information: y=3x-1dx=∆x=0.2 Differentiate y with respect to x: dy=32x-1dx dy…

Q: 4. Evaluate: S. yx²dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t² , (0 <t< 1).

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Q: W3:- Estimate y(0.2),using Euler methe ere y': = -y?cosx „y(0)=1

A: Here we have to estimate y(0.2), using the Euler method with step size h=0.1 where,

Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: dy dæ 2 and dt at x = 3 if y = 3x? 4. Find dt

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: if x² + y² =t -- and x* + y* = t dy prove dx 1

A: Given, if  x2+y2=t-1t and  x4+y4=t2+1t2 To prove that  dydx=1x3y

Q: Evaluate xy z? dx dy dz

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Q: 1. Use the Modified Euler's method to find y when x = dy 0.1 to 0.2 given that = √√x + y for y(0) =…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: dy t² +3 21. Find 9 if y = In dt /1-t,

A: We need to find derivative of given function with respect to t

Q: If x"y" = (x+y)** m+n m. X' d'y prove that = 0 dx?

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Q: 4. Evaluate: S. yx²dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t?, (0 <t< 1).

A: A line integral is the integral of a function along a curve. The function can be scalar-valued or…

Q: Suppose you know that dy/dt = 7y and that y(0) = 4. Which of the following answers is closest to…

A: We have to solve the differential equation

Q: 2. Find an expression for dy/dx on the curve x In(y) + x³ – 2y = 6.

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Q: }} If y cos(xy) dydx = x=0 y=0

A: Here we have to find the integral.

Q: 3. The length of the curve determined by the equations x =t and y=t from t=0 to t= 4 is a. b. 2[VF…

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Q: 2e | 3జy S S dy da = Vsin(zy)

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Q: Without eliminating the parameter, find d²y at t = 2 1 x = 1

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Q: Q1-If x= cot-1 VE, y = find dy d2y dx' dx² at t = 2. t+1

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Q: y' + 4y = e^(4t) %3D

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Q: 1. Find dy if y'=x' + Sin xy

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 26.ty′′−y′+4t3y=0,t&gt;0;y1(t)=sin(t2)

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Q: 4. An earth satellite moves in a path that can be described by x2 72.5 = 1 71.5 where x and y are in…

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Q: Find the exterma R-{ (ny ): xy zo} 2. F(xry) = x² +y?- メッ ×り

A: To find extrema first we differentiate the given function with respect to x and y, then after…

Q: Solve for y + In lyl at x=6: y'=(yx^2-y)/(y+1); y(3) = -1 4.5

A: The given differential equation is y' = y x2 - yy +1  with initial condition y ( 3 ) = -1. To solve…

Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

Q: 1) Find the solution of the following equation: y"+ ly 0, with y (0) = 3 and'y (0) = 3 with A<0. Is…

A: Let λ=-a2&lt;0 Then, y"+λy=0 ⇒y"-a2y=0 Auxiliary equation is m2-a2=0 ⇒m=±a So, the general solution…

Q: S, (x + 2y) dx + x dy. C consists of line segments from (0. 0) to (2. 1) and from (2, 1) to (3, 0)

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Q: Find the general solution to dw ol Sa'(t) = x(t) – y(t) + 3e'; ly'(t) = y(t) – x(t) + 2e'; (8) (8)…

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Q: 4. Find dy and Ay for y = 3VT-1+2x at r = 2 with dr = Ar = 0.2. %3D

A: The given equation is y=3x-1+2x. Given that x=2, dx=△x=0.2. Now,…

Q: Compute ∆y and dy for y =x + 5/ x − 1 where x = 3 and ∆x = dx = 0.1.

A: Consider the provided function, y=x+5x-1 Find the derivative of the function.…

Q: 3. For x= In /t y=t2, find y'-y"when x=0.

A: To find: The value of y'-y" when x=0 . Given: The value of function are x=ln(t) and y=t2. Formula…