y' + 2y = 3 sin(e2×)

Q: Find dy/dx by implicit differentiation. (cos TX + sin Ty) = 18

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Q: y=cos-1(3x2+1)=arccos(3x2+1)

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

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Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

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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: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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Q: (2y-1 + cos 3z) 분. 4x3 + 3y sin 3x = 0 (1)

A: We know that if - M(dy/dx)+N=0 Then M(dy/dx)= -N Therefore- dy/dx= -(N/M)

Q: s.fx 5. x3 sin 3x dx

A: We have to find the indefinite integral

Q: 3) y sin-ly² dy

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Q: Find dy/dx if y2=x2+sinxy

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Q: 3) еУsinx dx %— cos²x dy

A: Differential 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: Solve exact equation 2x -)dx + (2x cos(2xy) + 8e²")dy = 0 x² + 1 (2y cos(2ry) + with initial…

A: We will solve the problem.

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: Find dy/dx if  y2= x2+sinxy

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

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Q: Find dy/dx for y = 3[(sin-(e-3x*))2

A: Given,          y=3sin-1e-3x22

Q: e2x dx 1. Зе2x+1 2. sinx dx 1 3. cos 2x

A: As per bartleby guidelines we are supported to answer only first three subparts,  kindly repost…

Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

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Q: Ssin (2x)cos(2r)dx

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Q: tan(3x + 8). Let y : Find the differential dy when x = 5 and dx = 0.4 Find the differential dy when…

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Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

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Q: Integrate: / cos“ x dx

A: The given integral is: I=∫cos4x dx Reduction formula: ∫cosnx dx=1ncosn-1(x) sin(x)+n-1n∫cosn-2(x) dx

Q: 4- Find dy/dx for y = 3[(sin-"(e-3x*)²

A: f(x) = 3arcsin2e-3x2f'(x) =ddx 3arcsin2e-3x2=ln(3)·…

Q: Find dy/dx by implicit differentiation. 19) x3 + y3 = 5 20) 2xy-y2=1

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Q: 4. sinh(z²) dz dy dx

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

Q: tan(4x + 8). Find the differential dy when x = Let y 1 and dæx 0.3 Find the differential dy when x =…

A: In the given question we have to find dy of the function at both of the given value.

Q: – cos(4x) dx V 1+ cos(4x) d 1-

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: 1I) (3y cos(3x)dx-sin(3x)dy)/ y 0

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

Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

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Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)³ = 26 dy/dx =

A: Differentiate above equation with respect to x

Q: Find dy/dx by implicit differentiation. sin x + 2 cos 2y = 1

A: the given implicit function is: sinx+2cos2y=1 we have to find dydx by implicit differentiation

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

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Q: Find dx if 2 siny dy 3 Log (y1)

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Q: 2 sinºx cos®x dx

A: here we use integration method, as we seen that the power of the sin and cos are even . so we use…

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)° = 24 dy/dx =||

A: Our objective is to find out the derivative of the implicit function.

Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: Solve for the differential of y when y- sinax. x= and dx O o o

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Q: Solve the linear differential equation  (2y cosx + sin4x)dx = sinx dy  when x=π/2, y=1

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Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

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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Q: Since dv = cos( x) dx, integrate the differential equation to obtain the function v. =D A dv Cos( x)…

A: Since dv=cos8xdx, the first missing term is 8. Substitute cos8xdx for dv in ∫dv to obtain ∫cos8xdx.…

Q: 2 1) (-2xy) dx + (Siny-x²) dy

A: see my solutions

Q: siny dx + (x – sin? y)dy=D0

A: