23. dx + 4y = 0; y = cje2 + czxe2x dx d'y + 2x - x + y = 12x²; dy 24. x dx dx "dx y = cx- + czx + czx In x + 4x?

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: d³y + 4x². d²y +sin sin 2x dx2 dy 1. dx3 dx =sin sin y 2. y*dx + (2xy +lIn In y )dy = 0 d²x 3. (4y?…

A: Solution

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

A:

Q: Suppose ry 1 and dy -2. Find dt dx when x = 1. dt %3D dx %3D dt

A:

Q: Compute dy and Ay for y =-4x – 3 at x = -1 with Ar = dx= -0.06. Give your answers to four decimal…

A: Given data: fx=y=-4x2-3, x=-1 and ∆x=dx=-0.06 We know that ∆y=fx+∆x-fx Substitute the values in…

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: 7) Find dx 4e* dy if y = %3D 8) Find the first derivative of f (x) = sin? (x°).

A: We need to find out : 7)  dydx if y=4exx 8) First derivative of f(x)=sin2(x3)

Q: dy + (3y - ex) dx = 0

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: 3. (16x + 5y)dx + (3x + y)dy = 0 1 (Cos 2y - 3x²y²)dx + (cos 2y - 2x sin 2y - 2x'y)dy 0 the

A: In the given question we have to find the solution of the differential equation 1.…

Q: 2. Find the value of dx at y=2 if x=z²+5z and z= (y² + 2y)²/3.

A:

Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: Compute dy/dx if sin(x) = cos(xy^2

A:

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

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

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.

A:

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

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

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: dy x = 1 - t/5, y = 7t – 1;. dx dy dx

A:

Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

A:

Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Suppose y = square root 2x + 1 where x and y function of t . A) if dx/dt =12 , find dy/dt. When x= 4…

A:

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

A: We will solve the integration.

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

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

A: It is implicit differentiation.

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

A:

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

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

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: 5) If y = x³ + 2.x and dx/dt = 5, find dy/dt when x = 2.

A: Q.5) If y=x3+2x and dxdt=5 Find: dydt when x=2

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

A:

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

A:

Q: dy tanx for y = dx 1-secx 1) dy (1-secx)sec x+secxtan2x dx (1-secx) 2) dy (1-s8cx)secx-secxtan²x I3I

A:

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

A:

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: Find dy/dx implicitly. exy + x2 - y2 = 10 dy dx

A:

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

A:

Q: dy Differentiate implicitly to find dx exy 2x+9y+3

A:

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

A:

Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

A:

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

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

A:

Q: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

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

A:

Q: 19. Sobve (1-x*)-+m*y=0 dy=m dx where x=0, y=0,

A:

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.