3. D'y - D'y- Dy + y = 0 (AD4

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 37. - dy y. dt

A:

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: dy sin x Ify= et dx

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: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

A:

Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

A:

Q: 19 271. dx y= 1-X) dy = -Ldx -dy= dx S-(-yei) y" dy 99 99 100 100 99 dy dy 100 %3D + R00 100 ). %3D…

A: Refer below

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

A:

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: Use the Euler method with dx = 1/3 to estimate y(2) if y' = y - e2xand y(0) =1.  What is the exact…

A:

Q: 2. Z dx dy dz to

A: (5) Given integral is ∫02∫04−z2∫02−zzdxdydz.…

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

A:

Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

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

A:

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

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

A:

Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

A:

Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: Erample: dy I dx if y sin !!

A: Given: The function is  y2-x2=sinxy   To determine: The implicit derivative dydx of the function…

Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

A:

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: 1) (22 - ry + y?)dx - xydy 0, where y(1) = 0

A:

Q: Inx Iny Imz dx dy dz

A: To evaluate the integral ∫1e ∫1e∫1eln x ln y ln z dx dy dz, rewrite the integral ∫1e ∫1eln y ln z dy…

Q: Find dy/dx implicitly exy+x2−y2=19

A:

Q: Cln S iny 7. ex+y dx dy 0.

A: I=∫1ln8∫0lnyex+ydxdy⇒I        =∫1ln8ey∫0lnyexdxdy               =∫1ln8eyex0lnydy…

Q: 5. Solve dy+dy =5 with y"(0) = 0, y'(0) = 2, dt dt У (0) %3D0

A:

Q: Compute the differential dy for y = 4x³ + 2x?. dy =0

A:

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

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

A:

Q: dy = (x – 2)e-2y dx einitial condition y(2) = In(2).

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

Q: I Example 10.24. If = dy 2eły, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: here we need to use Adams predictor-corrector method and Euler's modified formula.

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: Find dy/dx implicitly. exy + x2 - y? = 11 |

A:

Q: 2. Evaluate dy/dx for y= x In x 1+inx

A:

Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

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: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

Q: If y = 2x³ +5 and dx = 3 then find dt dy when X = -2 dt

A: Given  y=2x3+5dxdt=3 To find dydt, when x=-2

Q: ex dy dx dz = e** dz dy dx 0.

A:

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: ¥3 at x = 0, and = 0 with the dy dx

A:

Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

Q: Can you help me step by step?

A: Let u=1+x^4

Q: 1- Cosh x dy + (y sinh x +e*) dx =0

A:

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

A: