dx + (1 – x²)cotydy = 0 when x = 0,y 4

Q: dy tanx (4) Find if y = (sec x)" dx %3D

A: Here, we have the given function in the form of a variable raised to the power variable. Therefore,…

Q: 8. dy dx || = -X y

A:

Q: COs x dy Find when y = dx csc(7x + 1)' dy dx

A: The given function is y=cosxcsc(7x+1)

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

A:

Q: Cosx b) Jo esinx) x+1 dx, using the substitution u = sinx. 13. Find a) J1(x+1) e), (x + 1)e *dx.

A: In the question it is asked to solve question number 13.

Q: dy Differentiate implicitly to find dx xy2 x +y dx II

A:

Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

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Q: ay at the point (1, ). dx For the equation given below, evaluate x* + 9 - 6y dy at (1, 품) - ㅡ -- 61…

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Q: y = sin²(2x) + %3D et dy Find Y dx Inx

A: We have to find solution

Q: dy y3 , У (0) : 1 dx 1– 2xy2

A:

Q: dy from the equation 3xy2 + 4 dx Evaluate y _ y-5 11 when x =1 2x2 – 1

A:

Q: x3 for y = Differentiate. Find dx x-1

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Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: The required formula is ddxuv=vu'-uv'v2

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: 8-y y dx dy 'y

A:

Q: dy sec? x sec3 y dx

A: Here dydx=sec2xsec3y Using variable separable; ⇒dysec3y=sec2x dx taking integration both of sides

Q: J sec x dx sec x

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Q: sin(y)dx + cos(y)dy = 0 by exact

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Q: Solve using separation of variables: dx = +(1 + t^2) sec^2 x dt.

A: Given differential equation, dx = ( 1+t2 )sec2x dt

Q: J (secs x) dx/csc x

A:

Q: I 1 y sin(2²)dx dy. 0. y2

A: See the details solution in below

Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

A:

Q: Diffential Equation by Substitution:   DE (x+2y-1)^2 dx = dy

A: We have to solve differential equation.

Q: Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: dx wherein x(2) = 4 り dy

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: dy where y - e = 1 Find 3D1 %3D dx

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Q: sin(y) = -5x dy Also, dt 10. dx Find when y = -T. dt

A: Consider the following: Differentiating the function with respect to x on both sides, we have,

Q: Using the Chain Rule Find dy/dx for y = (x2 + 1)3

A: Given, y=x2+13 We can write given function as, y=x2+12x2+1 Now by using the chain rule,

Q: d'y of the function x' +y' = 1 aluate y" or dx when x = 0.

A:

Q: Solve the DE using Variation of Parameters: y"+y = sec' x %3D

A: Given  The differential equation using variation of parameters. y''+y=sec3x

Q: ey - x+y = 10

A:

Q: dy y dx when y = 1 and x = 1 in terms of %3D

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Q: y = sinx + x² to dy dx? x² y +2

A: Given, y=sinx +x2 Differentiate two times with respect to x to get required differential equation.

Q: 3 y = Vx +=+ sinx %3D

A:

Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: еУ sinx dx 3Dcos*x dy

A: To Determine: we have a differential equation  Given: we have eysinxdx=cos2xdy Explanation: we have…

Q: dy -sec y dx = 0 sec x %3D

A: We will find out the required general solution.

Q: dy sec x Find for y = dx 1+ sec x dy dx II

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Q: 3. (бх + у?)dx + y(2х — Зу)dy

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Q: I3D Find y in terms of x. dy passing through (2,5). dx Vx² - 8x + 16

A:

Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: sinx2 dy Find dt

A:

Q: dy = -- x dx; y(1) = 9

A: Given data:     The given equation is: dy=(8/x-x)dx. The given condition is: y(1)=9.     Integrate…

Q: dy = a-x dx when x 1, y = 2 when x = 2, y = 0 %3D what is the value of a?

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Q: Cosx 2) ). y dx+ týž - Sinx (²) dy = уч

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Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: dy Find where y = sec-' (V3x³). dx

A: