What is the discriminant of the PDE?    4d2/dy2=-3du/dx-4u

Q: /3 2 %3D

A: To find: The value of dydx. Given: The equation is y=x35x2+1-23. Formula used: Chain rule of…

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: + 1 =2e- dy

A: Given, Can be rewritten as

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: ind dy/dx. y= -3x square root of 1-4x^2

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

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: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

A:

Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

A:

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

A:

Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

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

A:

Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: if 3x - 2e Find dy dk %3D

A:

Q: Find dy. y = x/9x - 7 27x - 14 dx 9x -7 27x - 14 dx 29x -7 O 27x+ 14. dx 2/9x -7 27x + 14 dx V9x -7

A:

Q: 5. Find the dy of the followings: dx (i) y = x²lnx (ii) y = (iii) y = (4x² – 20)(6x +5) (iv) y =…

A: dxndx = n.xn-1. Chain Rule of differentiation : If f(x) and g(x) are two differentiable function…

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: 5 If y = dy then dx %3D x+1

A: Given that: y=xx+15

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: The given differential equation is 3x-2y+1dx-x-2y-3dy=0.

Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

A:

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

A: Given problems:-

Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

A:

Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

A:

Q: Find the general solution: dy = tanxtanydx %3D

A:

Q: dy if y = Find dx et %3D 4x2-3x+2

A: Differential of function

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

A:

Q: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: Find of dy2 z = 2x – 5xy² + x²y³ -

A: Given equation, z = 2x3 - 5xy2 + x2y3 We have to find ∂2z∂y2

Q: Find the dx/dy of 2x² + 4y² = 4.

A:

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

A:

Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: 1. Find the dy of the followings: dx (iii) y = (4x² – 20)(6x + 5) (iv) y = (4x² – 20x + 50)6

A: For given (3) and (4) , we have to differentiate it with respect to x

Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: If y= In(3x² – 6x – 8), then find dy. | dx

A: Chain Rule of Differentiation dydx=dydududx................................................(A)…

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

A: Given; y=e2x+3.

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

A:

Q: Find dy/dx2 implicitly in terms of x and y. x*y – 6x = 9

A:

Q: find dy/dx in plicit dèfferatien XY +5x+5x²=2

A:

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: Find the general solution for d²y_2dy +3y = x² 2 dr2 dx

A: We have to solve given differential equation:

Q: | 3yVT – 3y² dy

A:

Q: dx 4√/3x-x² 5³-

A:

Q: Integrate the FF- ). dy dy N+2 V+2

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.