5 find dy/dx for y= [(r^2+1)] ^(-1) ,x= [(4r+1)] ^(1/2) (use chain rule) 5-find for y= (r² + 1)~1 „x = (4r + 1)½ (use chain nule) dx Vr+1 A) %3D dx (r2 +1) dy r(4r + 1) B)- dx %3D (r +1)2 rV4r +1 dy C) dx (r2+ 1)2 %3D Oa e Ob OC ارسال الاجابة

Q: Find for y = sec(x) ||

A:

Q: Dy/dy=x^2-y^2/2xy.     Y(1)=0

A: Given that: dydx=x2-y22xy and y(1)=0

Q: 3 tanx dx 3/ secx

A: Indefinite integral: An integral which does not have any upper limit or lower limit of integration…

Q: Where did you get dy/dx(16x^2y + 16y^3 - 8xy) from

A:

Q: 4) (e* + y)dx+ (2y + x)dy = 0 %3D

A: Hence, the general solution is                                            y=-x±x2-4(ex-C)2 Where C…

Q: Dy/dx if xy= sqrt5 -4x^3 +1/x

A:

Q: 을(22 + y7) %3D (25) d. da da d 을 (2) + 옮 (v?) 3D0 d dæ da a function of x and using the Chain Rule,…

A:

Q: Find general soulution (x+1)dy/dx +(x+2)y=6xe^-x

A:

Q: Dy/dx +(4xy^4)=0 X dy/dx-y=2x^2,y(1)=1

A:

Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

A:

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: d(d Which of the following is the same as -台) dx dx dx None d'y (dy d'x dx C ddy D dx4

A:

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product…

Q: d/dx [x/(x^2 + y^2) ] = * O [(y^2 + x^2)/(x^2 + y^2)^2 ] O -[(y^2 +x^2)/(x^2 + y^2)^2 ]…

A:

Q: +3x² +1 dx =? x* -1

A: To find: ∫x3+3x2+1x4-1dx

Q: x (lay_ In x) dy + y(1+lmy_lux). dx = 0

A: Introduction: A function of two variables is referred to as a homogeneous function when it is…

Q: x(x + y) dy/dx = x^2 + y^2

A:

Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

A:

Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

A:

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: dy/dx=(10+17x)/xy^2   y(1)=3

A: Rewrite the given equation as follows.

Q: 3y

A:

Q: 5-(x^2-y^4)dy/dx=xy

A:

Q: How do I use the Bernoulli sub for the eq:   (  x^2 ) (dx/dt)= x^2t+3x^3 and where x( 0) =2 thanks…

A:

Q: r1/2 (1- 2x) dx + J1/2 1-2x dx= 2x) dx = Submit Skip (you cannot come back) Type here to search hp

A: We have to solve

Q: and d^2y/dx^2 for

A:

Q: for g(t)=t^4-t/2t+5 find dg/dt { t=2

A: Given the function is g(t)=t4-t2t+5 To find dgdt  at  t=2

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: xydy - y^2dx = x * [(x^2 - y^2)^0.5]dx

A: First order non linear differential equation. Given differential equation is homogeneous, for…

Q: General solution

A: We have to find the general solution of given differential equation.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.