(1+ 4ху — 4x?у)dx + (x? — х3 )dy 0; when x 2, у %3D - -

Q: /3 2 %3D

A: To find: The value of dydx. Given: The equation is y=x35x2+1-23. Formula used: Chain rule of…

Q: 8-x²-y? 19. 'dz dx dy +y²

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Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: 8. (3x +y-2)dx (3x +y +4)dy = 0

A: we only solve one problem at a time so please post your question one by one.

Q: Solve: (dy/dx) = [(5y – 2x) /(4x - y )] %3D

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Q: dt - 5t 4. | zv V100 – x² dx > 6.

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Q: Find the first and second derivatives. 6x5 y = - 7x+4 ex dy %3D dx dx II

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Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: = 6 + 3t, y = −8t;  dy dx

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Q: dy if y = Find dx et %3D 4x2-3x+2

A: Differential of function

Q: dy 4x 29. dx 4x + %3D V16 - x2

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Q: dy y dx 2x = 3y2 – 2 when y = 1 and x = 1 in terms of x. %3D - -

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Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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Q: Find the first and second derivatives. -3 y = 5x - 11x -8x dy dx d°y dx? %3D

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Q: lax +3y-5) dx + (3x-y -

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Q: (3x - y +6) dx + (6x – 2y - 6) dy = 0 Answer: 7x + 14y + 18 In ( 21x - 7y-12) = C. %3D |

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Q: Zx+1 8) I = - dx 7-7x+12

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Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: dx 6) I = v9-

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Q3) Solve (ysin x + y²) dx – („+1 xsoɔ + *) - - 2xy) dy = 0

A: 3 Given differential equation is ysinx+y2dx−1y2+1+cosx−2xydy=0.......1. We have to find the solution…

Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: dy y2-8y+5 13-1 dx x2+2x+5

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Q: y = (2x3- 8x )4 Find dy/dx when x = - 2

A: Given function is Differentiating with respect to x by using chain rule o differentiation, we get…

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: -2y Six*y dx dy 3.

A: Given a double integral ∫12∫02yx3y dx dy we need to calculate This can be done as:

Q: (х-4y-9) dx +(4x +у-2) dy %3D0

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Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: 3z (sec-(-3z?))³ 2|–3z*|-/9zª–1 If y= sec-1 (-3x²), then dy dz

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Q: dy – y – 5x* – 3x² + 2x = 0 dx - -

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Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: Integrate ,(t³ – 5t? + 2)dt

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Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: dy -(3tan x)y = 1 dx 2.

A: Given that, The differential equation is following, dydx - (3tanx)y = 1 We have to solve the DE.

Q: (2x - y)dx + (4x + y - 6)dy = 0

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Q: rtan r d Vt3 +4 dt dx 1/a

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Q: If y = (6x + 7)0.5(2.6x2 - 1.9), what is dy/dx?

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Q: .x(3xy-4y3 + 6)dx + (x³ - 6x²y2 - 1)dy = 0, when x = 2, y = 0

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Q: 4y2 dx = 9x2 dy when x = 4, y = -3

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Q: (dy)/(dx)= (3x^2+4x+2)/(2(y-1)), y(0)=1

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Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…