is the below true or false and why?  If y=e11x , then y'=11e10x

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

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Q: 7. Find the dy/dx of * y = In sin 5x

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Q: 1. (4 - y?)dy dx

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

Q: x²y² dy — 3у +1 dx

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Q: By using variation of parameters, what is a possible value for u' for the differential equation y' +…

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Q: Verify if the given function is a solution of the indicated differential equation. y = 2 cosh x; y"…

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Q: 3. find dy/dx of y= sinh 2x

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Q: OFind the second derivative of y = 4Vx + E + 10

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Q: 8. (x – 3y) dx + (3x – y) dy = 0; y(0) = 2

A: Homogeneous Differential Equation: A differential equation of the form f(x, y)dy = g(x, y)dx is said…

Q: 23.(2х — Зу)dx+ (2у — Зx)dy ; х%3D1, у3 1

A: we have to find as per guideline we have to solve one question

Q: Solve the following differential eyuation x 2+ 2y = x* e** y.

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Q: Let y=(x2+3) to the 2nd power. Find the differential dy when x=4 and dx=0.2 ?????????? Find the…

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: Show that given differential equation is exact and hence salve it o COs…

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Q: Solve dy りー! り(-)ニ。 dx ス+3 © xy! =1+X

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Q: dx + (1 – x²) coty dy = 0

A: Given differential equation is,

Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the…

A: I am attaching image so that you understand each and every step.

Q: y dx + (x'y+')dy -0

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Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION хdy — ydx 4. | = x³ dx y2

A: Given that: xdy-ydxy2=x3dx

Q: Find a differential equation whose general solution is y = cie" + cze *. = 0

A: To find a differential equation whose general solution is given by, y=c1e7t+c2e−3t

Q: dy ху = x³e-*sin x dx + y² 5.

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Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: 10) y7 exbx

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Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: Which of the followings can be considered as integrating factor for the differential equation xdx +…

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Q: Find the equivalent differential equation for all tangent lines of the parabola y = x^2

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Q: If y = sin2x, the derivative dy/dx is equal to a. cos2x  b. sin2x c, 2cosx  d. 2sinx (SOLVE BY…

A: Solving the equation by the method of differentiation.

Q: 9. (x2 – 9y?) dx + (2xy) dy = 0; y(2) = -1

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Find (dy/dx) if y²-x?- sinxy =0

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Q: Given the differential equation

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Q: How would I Find dy/dx implicitly 5xy + ln(x2y) = 9

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Q: Determine the integrating factor for the following differential equation y'=3x+6

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Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: What should be A for the exact differential equation of ry + A 2Ay – x -dy y? Moreover evaluate the…

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Q: 2. y(2x+y° 5. dx 3. 2x

A: We have to solve

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A: