dy de y =(x-1)(x+1) If x=3 equals ? then

Q: (x-2) (x³-4) Vx² +1 dy 1. If y = then equals to : dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: y (8x - 9y) dx + 2x (x -3y) dy = 0 where x = 3 and y = 7

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Q: Find the set of solutions (3x – 3y – 2) dx – (x – y + 1) dy = 0. - - %3D

A: Given differential equation is linear, we will use substitution to solve it

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

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Q: dy x³ - 2y² f) 3 Hint: You know two methods that will work! %3D dx 4ху

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Q: Obtain the particular solution when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: dy + 0.4ty = 3t dt with y(0) = 5.

A: This equation is of the form of bernoulli equation.

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: dy 4 --v = -r dx 4 P(x) Q(x) = -x³, Linear in 'v'

A: The given equation is: dydx-4xv=-x3px=-4x, qx=-x3

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: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: The equation dy - ydx = [-x*y^3* e^(-2x) ]dx is linear in x but not in y. True or false?

A: Given that dy-dx=-xy3e-2xdx.

Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

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Q: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

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Q: Q3: van fy = xy-1+ x.ln(x) J f(x,y) = x' + y* if it was

A: To find the partial derivative

Q: dy 5. S: y(1-Vy)2

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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: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: I Solve the fllowing FODF 2y(x+y+2) dx + (y²-x²_ 4x-1)dy = o when x=2,y= 3

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Q: dy 34. = ty² +3t²y with y(-1) = 2 %3D dt

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Q: dy 1 if y = dz 219

A: Given that: y=12x+9

Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: a. y(x² + 2)dx – (x³ – x)dy = 0; when x = 3, y = 1/3 -

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: xydx + (x + 2y²)dy = 0 is exact. True False

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

Q: Sz sin³ y dy 8. 3 2

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Q: In(y) dy V. 6.

A: This is a problem related to integral by parts. Based on the general formula of integral by parts we…

Q: dy/dx=4x^6sqrty,y>0

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: dy If y = 2cscx then equals to : dx

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Q: dy If =-x+4x -3 and y =2 when x =0 then y is equal to dx

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Q: If f(x)=3^x x^3, what is dy/dx?

A: Solution: Here  f(x)=3xx3

Q: 2 4. S dy 1 y +y° - 3

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Q: dy/dx 5 - y = In(x – Vx²+ 1)

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Q: If feF - dr = Sc(4x + 4y²) dx + (x²y) dy, what is.

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Q: dy dz 2. x+1 y+1 z+1

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Q: Evaluate the integrals

A: Consider the given integral, ∫02∫-4-y24-y2∫02x+ydz dx dy integrate with the given order of the…

Q: dy 1- S V9+y2

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Q: Solve the DE. (1+x²)dy + [(1-x)²-xe^-x]dx = 0; when x = 0, y = −2

A: This is a problem of ordinary differential equation. first of all we will simplify it into dy/dx…

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: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides.

Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

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