3 Find y if 2x'+,/9y =15 and x+ /4y =20. y =

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

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: + 1 =2e- dy

A: Given, Can be rewritten as

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: 16 (1.) 2XInX 2 dy/dx (2. if 4 = cosh 2 JX +1 %3D 213 dx (3.) 4+x2

A: Question 1 is solved by substitution method. Solving other questions are against the policy of…

Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: . (4x³y5 sin 3x + 3x*y5 cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A: See the solution.

Q: If z = +3y, find the differential dz. dz =

A:

Q: 3. find dy/dx of y= sinh 2x

A:

Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

A:

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

A:

Q: Find dy/dx if y =3x2/3− 4x1/2 −2

A: Here given as

Q: ind dy/dx if y=8x-3/24x^5

A:

Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

A:

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: Find dy/dx in terms of x and y if cos^2(9y)+sin^2(9y)=y+7 dy/dx=   implicit derivative problem.

A:

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

A:

Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

A:

Q: 5) If y- x-2x and at ts V2 Find dy

A: To find dy/dt at t=sqrt(2)

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

A:

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

A:

Q: Find the differential of y² + x = 4.

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

Q: 3z cos(z)dz

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: Find the differential dy. y = cubic root of 3x^2

A:

Q: 4. sinh(z²) dz dy dx

A: We need to solve the triple integration by re arranging the order.

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

A:

Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

A:

Q: 2 4. S dy 1 y +y° - 3

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: find dy/dx of y=sin^2 4x+1/2 cos 8x

A: Given,         y=sin24x+12cos8x

Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

A:

Q: Solve for y + In lyl at x=6: y'=(yx^2-y)/(y+1); y(3) = -1 4.5

A: The given differential equation is y' = y x2 - yy +1  with initial condition y ( 3 ) = -1. To solve…

Q: 3 -V7 dz dy dx dy dz dx

A:

Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

A:

Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

A:

Q: * 2e² + 6z² – 8z + 6 cosh 3z dz ez + z3 – 2z2 + sinh 3z |

A:

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A: