d. y(2x² -xy + y*)dx=x° (2x – y)dy =0, y(1)=

Q: d'y & dx Find d'x to the : dy *yーy=7 %3D7

A: We have the expression x2y2-y=7. Differentiating both sides of this equation with respect to x, we…

Q: t + 2y = t² – t + 1, y(1) - dx 2 dy 2 dx - y = 4 sin 3t, y(0) = 1 ||

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Q: dy In(3x + 7) Find for y = dæ 9e5z dy %3D dx

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Q: dy dr 1. cos(r + y) y(0) = 2. (4ry + 3x²)dx + (2y + 2r²) = 0, y(0) = –2

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Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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Q: a) 3dy = sin(x)(y² – y)da dy + (x + 5)y= 5xe 2 dx

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Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: (16x+5y)dx+(3x+y)dy=0, (the curve pass thru the point 1,-3) (3x^2-2xy 3y^2)dx=4xydy (3X^2 - 2Y^2)…

A: Since you have posted a question with multiple questions, we answered the first one for you. If you…

Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

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Q: dy is : If x- y 0, then %3D dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the value(s) of dy/dx  at y=1 given that x2y + y2 = 5.

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Q: - 16y? – 16x – 16y = 0. dy at the point (3, dx ves to calculate

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Q: I-x² f (x, y, 2) dz dy dx 1-x² Jo

A: we have to find the region of integration

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

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Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: Find dy/dx at the given point for the equation. x= 4 In(y2 - 3), (0, 2) dy/dx =

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Q: If y = In(2x+3) , then find dy at x = 0. dx

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Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Get general equation of this DE: (1 + y^2)dx + (x^2y + y + 2xy)dy = 0

A: Solving the DE by seperation of variables

Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

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Q: 1) (22 - ry + y?)dx - xydy 0, where y(1) = 0

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Q: d*y d y +79 dx - 3y = 20 sin(x), y(0) = - 1, y'(0) = 2, dx3 dx

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Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: find the dy/dx at x=-2 for y=3u^2 + 2u and u= (x^2+5)^1/2

A: Explanation of the solution is given below....

Q: x²y(cos(Tz) +2) dæ dy dz

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Q: dy sin x dx y+2

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Q: 2 In(t) and y=4 t2 then find %3D %3D dy dx d'y dx2

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Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: dy اذا كانت y = 3z2 + (sin(z وكان = *3ez؟ 4 : أحسب dx

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Q: (у3 — у?sinx — х)dx + (3хy2 + 2усosx)dy %3D 0

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Q: dy 2y = 2x/y %3D dx

A: The solution of the problem is given in the next steps.

Q: 30. cos(r + y?) dx dy 32. x²+ y² dx dy 2 y

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Q: what is the equilibrium of dy/dx = y - sqrt(y) when y >0

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Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: x dx - Ja- x dy = 2. [2x +y cos(xy +xco6(xy)dy = 0 1.

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Q: Hw #4 ( 2 xy +y -tany) dx+(x²-x tany tSeiy )dy =o ??

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: y.cos(z) dx dy dz * 0 0

A: Given that: ∫01∫0π∫0πy.coszdxdydz

Q: dy find 3 - x x - 2 1) If y = t + 2t , t = %3D %3D dx

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

Q: dy dx 2 at x = 5 if y = 4x? + 5 and dt = 4. Find %3D dt

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Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.