(х — 4у — 3)dx — (х — бу —5)dy — 0 -

Q: Ex. Find the general solution to dy 1 -2.x dx X -

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Q: (3y + 2x) dx –x² dy = 0, given that x = 1, when y = 2

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Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: 8. (D2 – 10D + 34)y = -cos3x

A: Answer and explanation is given below

Q: 10. Evaluate: +4x dx (a) (b) (x2 -2x 4) dx (c) (t2-t) dt (et cos t) dt (d) dx

A: Here, we use the formula that integration of x^n is x^(n+1)/(n+1) as shown on board.

Q: d'y ,dy dy dx 2 2- 24e* + 40e S* dz dx +

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Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: Compute dy/dx for y=u 3/2 and u=2x+5 using the chain rule formula dy/dx=dy/du du/dx. The answer is ?

A: The derivative of a function is a measure of the rate of change of the function with respect to…

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: If x=t² - 5t and y=1-61² , then dy at t =1 is dx Oa. 4 O b. -1 - 4 d. 4

A: We need to find parametric differentiation

Q: dy 3. Find dx? .2, Given that xy + x²y° = 5.

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Q: Find dy/dx at the given point. 3x' + 4xy = 1 at (-1, –1) O a. 4/5 O b. 5/4 Ос. 1 O d. -5

A: Using  differentiation of product rule,

Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: Evaluate " " So s L dz dx dy rvZ c3y (8-x²-y² Jx²+3y²

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Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

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Q: 4.Jy2-プdy

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Q: d | Vsint dt dx 3 2.

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Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: - (64 – 2²) " - dy dx %3D

A: Solve the initial-value problem for y as a function of x.     64-x2dydx=1 , y0=6

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 4. (D² – 10D + 34)y = -cos3x

A: Using method of Linear Differential Equations with constant coefficients.

Q: If y = e Oe3 Oe 3x X² O 2e3 O 3e³ then dy dx at x = 1 is

A: To find derivative of given function at x=1

Q: 2- find dy/dx erty = 2x + 2y*

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Q: dy 17. Find dx at the point (-2, 2) given that 2x- 5y = 3xy

A: Explanation and solutions is given below.....

Q: dy 5. S: y(1-Vy)2

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Q: If y=(6U2-7)3 and U=(9-2x)5 then find dy/dx and evaluate when x=5.

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Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: 9. 3y'e" dx dy

A: To solve the integral

Q: dy 1 andy 3x? + 1 if- dx Find- atx = -1. dt dt 1 6 -6 ||

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Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

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Q: 1(cotx) dy dx = 1 ctan 10n а. 44 157 b.- 44 20n с. 44 1-A d. 2

A: topic:-  application of integration

Q: 94. Find dy/dx if y - 2 by using the Chain Rule with y as a com- position of a. y- u' and - V b. y -…

A: a) Given y=x32 The chain rule state that dydx=dydu·dudx

Q: Q2 Find (d y/d x)& (dy/dx²) ex = 1/ cosxy

A: Given: eyx=1cos xy ⇒eyx(cos xy)=1 ----(1) Differentiate equation (1) w.r.t "x" ddxeyx(cos xy)=ddx(1)…

Q: Compute dy/dx for y=u 3/2 and u=4x+5 using the chain rule formula dy/dx=dy/du du/dx. The answer is ?

A:

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: (хе* + 4e* + 4eУ + 4lny) dx + ( хеУ + — dy %3D0;B у (0) — 0

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Q: - 9 dy 8 Find dx for y = (8x - 9) dx ||

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Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: Find dy If y=1-t and x2 dx

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Q: dy 4. = 4 sin 2x ; y = 2, when x = Tt/2 dx

A: Given a differential equation, dydx=4sin2x ; y=2 where x=π2 To find the general solution of the DE.

Q: - +5. dx + 6y = 12(x+e") 1 dy given that y =- and = 3 when x

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Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

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Q: dèy 6. dx2 1-cos4x if y = 1+cos4x

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Q: 26. = 2xy² + 3x²y², y(1) = -1 dx dy 27 -7

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Q: Find dy/dx by the implicet differentiasion x2+y2=64

A: