(b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

Q: If VT + Vy = 10 and the point (4, 64) is on the curve, find dy x=4 by implicit differentiation. dx…

A: Given that: x+y=10

Q: Find the dervative: -1 y = sinh 2 dy dx

A: I have stated the used formulas in the solution

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: -х ху dy dx is approximately equal to 0 ex The value of

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

Q: Solve: sin(y) dy/dx = e

A: given question is solved using variable separable method of differential equation    final answer is…

Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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.ly-x dx+ dy = 0

A:

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

A: Given query is to find the derivative of the expression.

Q: find dy/dx by implicit differentiation xy + 2x + 3y = 1

A: Consider the following equation: xy+2x+3y=1 Differentiate the above equation with respect to x.…

Q: 5 dx, correct +2x²) Problem 19. Evaluate (3 to 4 decimal places

A: ∫0152x2+3dxSubstitute u=2x3→dudx=23→dx=32du=∫532(3u2+3)duSimplify:=523∫1u2+1duWe know that…

Q: Differentiate. In x y= 11 y3D dx

A:

Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

A:

Q: Find dy/dx by implicit differentiation. ry = x°y+ 24 dy/dx :

A:

Q: Solve the inital value problem from the differentail equation: dy/dx = 1+ y       where y(0) = 1

A: Given: Initial value problem. dy/dx = 1+ y       where y(0) = 1

Q: Find dy/dx by implicit differentiation. xy = 5+ x?y dy/dx =

A: Given: xy=5+x2y To Evaluate: dydx Concept: ddxx=12xddxfgx=f'gx·g'xddxf·g=f'·g+f·g'

Q: # 5) If y = x³ + 2x and dx/dt = 5, find dy/dt when x = 2. # 9) If a snowball melts so that its…

A:

Q: A) Ln(y+1)dx+ 2у(х-1) dy = y?+1

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

Q: Find dy by Dx when y is equal to under root  2x²-5x+n whole cube

A: Given: y=2x2-5x+n3

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: 10) y7 exbx

A:

Q: A particle moves along the curve y = x3/2in the first quadrant in such a way that its distance from…

A: Let w de the distance between origin and the particle at any time t. Given that, dwdt=11 Now by…

Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

A:

Q: 1. Differentiate the following: а. у %— y = x²e2x, find dy/dx

A: Differentiate the following

Q: IF x = asec'0 and y = atan '0 dy Find at 0 dx 3

A:

Q: ■ Find dy /dx  by implicit differentiation 4 cos x sin y =1

A: To find dy/dx

Q: H. \ || 20 s s sec (cosx) dy dx siny 3y steb e dx dy >+

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

Q: Find dy/dx by implicit differentiation. (cos πx + sin πy)5 = 70 dy/dx =

A:

Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

A:

Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

A: Given query is to find the derivative of the expression.

Q: Find dy/dx by implicit differentiation. 4+6x=sin(xy^2) + y

A: Answer and explanation is given below..

Q: Solve the initial value problem. dy ху?- сosrsinx а. у (0) %3D 2 dx (1- x?)

A:

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

A:

Q: Find dy/dx by implicit differentiation. 5x2 + y² = 25 dy/dx = %D

A:

Q: Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 6 y'%3=

A:

Q: ydx -( x+***ty? dy = 0

A:

Q: 4. Differentiate y with respect to x. y = (In Vcosh3x)(sinh(2x + 1) ex+1)

A: The given function is: y=lncosh (3x)sinh-1(2x+1)

Q: Find dy/dx by implicit differentiation y cos x = 2x? + 5y2

A: Given,           ycosx=2x2+5y2

Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

A:

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

A: Given ∫01∫y1dxdyy(1+x2)

Q: (b) 6x Cos dx. (Hint: you might need to use integration by parts several times.

A:

Q: dy 1- cosh x+ (sinh x)y = e¬* dx

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

Q: A 15 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding…

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

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

Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.