Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

Q: dy +x =

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Q: Find the differential dy of y=√x. Show complete solution

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Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

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Q: . (4x³y5 sin 3x + 3x*y5 cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A: See the solution.

Q: 30. 5e dx 31. dx Зи du - 1 33. 3. x² dx 35. (x' + 5)* 37. ((3 In z + 2)4 39 dz

A: We have to solve the integration

Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: 2. dy dx

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Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

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Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: ind dy/dx if y=8x-3/24x^5

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Q: (xy-4lnx+x^2sinx^2)dx+x^2dy

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Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Find dy/dx by implicit differentiation. x^3 + y^3 + 9y - 5 = 0 dy/dx =

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Q: dy/dx of y = (x^2)cos^4(x)

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Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

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Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

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Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: Differentiate y=5x(3x^2-2x) dy/dx=

A: We have to find differentiation of y.

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: 1 point) Find dy/dx by implicit differentiation. 2cos(x)sin(2y)=−4 dy/dx=dy/dx

A: It is implicit differentiation.

Q: 8. dx +x2 Integrate:

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Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4

Q: Find differential equation of ydx+(x+x^3y^2)dy COMPLETE SOLUTION PLEASE

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Q: 7. Integrate 2x-1 dx by using substitution method.

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Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: Find dy/dx y=(7x-1)tan(2x^2-x+9)

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Q: i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

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

Q: Find dy/dx of x siny + y = 4x + 3

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Q: ex dx

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Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

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Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

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Q: 29. (csc x – sec x)(sin x + cos x) dx find + In 5 ) dx 30. 3 sinh .3 2x3 V1 + x² sin x dx 32. 31. dx…

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Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

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Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: Find dy/dx by implicit differentiation. 3x2 + 5xy - y2 = 4 dy/dx =

A: Given; 3x^2+5xy-y^2=4 dy/dx=?

Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as