Solve t-r sec'y= 2g tan y,

Q: Find the particular solution for: y' sin(2y) - cosx = 0, x =when y = 0 %3D 2

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Q: Find the particular solution for: y' sin(2y) – cosx = 0, x =when y = 0 %3D

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Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: [2 ln (x)+1] dy in yty cosy %3D dx

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Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Solve using Substitution Method. y(x Tan x + In y)dx + Tan x dy 0

A: The substitution method as follows, y (x tanx + ln y) dx + tanx dy = 0

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: Solve dx dy for y= sec (In x) In (tan x)

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Q: Solve 3e* tan y dx+(1-e*)sec² y dy = 0.

A: To solve the given differenrial equation.

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

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Q: find dy/dx of y=cos2x-sin4x

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Q: Differentiate : a. y= 9x sec (x/3) b. y= sin2x/1-cos2x

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Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: Solve (Vr) = sec (Vx) using variable separable form. dy dx

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Q: Find the general solution of y'= sin²xcosy.

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Q: y = x* + 2 sin(x) + xº + 24*.

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Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: find dy/dx (sin2x)x

A: Explanation of the answer is as follows

Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: find dy/dx

A: y=∫sec x21t2+1dt.

Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: Integrate: x² cos(2x) dx

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Q: Find the solution of the equation in the interval 0"sx <360 1. cos x+) 3 = - cos x +T3%3D

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Q: The position of a particle moving along the x-axis is x(t)  = sin(2t) - cos(3t) for time t>= 0. When…

A: Given the position function, x(t)=sin2t-cos3t

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: S Sin 5t-205 2t-2(03 2€ ; s(登)=

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Q: Find the equation of line tangent of sin(2x) cos(3x)+ sec(x) TC At x = 6. %3D

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Q: Calculate the second derivative y : Vx - Vy = 1

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Q: Find dy/dx by implicit differentiation. 2x? - 5y2 = dy/dx

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Q: Solve (1 + y) dx = (tanly-x) dy

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Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P &amp; Q is…

Q: – cos(4x) dx V 1+ cos(4x) d 1-

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Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using…

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Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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Q: solve  sin(x)dy/dx + ycos(x) = cos(x)[ex + sec2(x)].

A: Convert into dy/dx+p(x) y=Q(x)

Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: 1+y* 3+ sec(y)

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Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: Solve dy/dx=tan2(x+y

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Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: 2. Solve (sin y – 3x² + 5)dx + (y +x cos y)dy = 0. (Test for exactness and solve)

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Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

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Q: Find y't yu 4=In(sec 9x +tangx)

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Q: Test for homogeneity

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Q: tan(2x + 2). Find the differential dy when x = Let y : 4 and dx 0.2 Find the differential dy when x…

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