dy Find -5 y%3D(2+cos4t) dy dt

Q: dy Find dx from the equation y = sin[cos xy].

A: Explanation of the answer is as follows

Q: dy dx (i) 1. Find y = In ( Cos²3x) (ii) y = e2x³ (iii) y = In ( x³3+ x)

A: SOLUTION-

Q: dy dx ytsinx I+ CoS X

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Q: dy 7. dx cos(x + y), when x = 0,y = 4

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Q: Find dy/dr. cos 2r y = sec r+ 1

A: solution :-To find :- dydxy=cos2xsecx+15=ddxf(x)g(x)=g(x).f'(x)-f(x)g;(x)[g(x)]2

Q: y = cos(a² – 8) COS dy Find da dy da

A: Given function Use the property of the derivative

Q: 3x (y? + y + cos4y)dydx 3.

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Q: dy 5. Find : (b) y = cos (11x³ + 5x). dx

A: The detailed solution is given below Thank you

Q: SS cos(x)esin(x)-2y dxdy

A: To evaluate the double integral, first find the integral with respect to x by substitution method.…

Q: Use this equation to find dy/dx. 5y cos(x) = x2 + y2 %3D dy dx %3D

A: We have, Here, we'll take derivative on both side and then isolate the dy/dx.   It is known that,

Q: y=(4x -5x +6)(e-sin 2x), then find dy at x 0.

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Q: Y= cos? (InX+e*)

A: Given that y=cos2ln x+e2x find dydx

Q: dy 2y ! = -x² y² sec²x %3D dx +

A: Using solution of Bernoulli Differential equation.

Q: d ( cos(Vr ? +1)dt Find dx -2

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Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

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Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q4: Find dy\dx if|cos?y +5y2 = x2

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Q: The dy/dx for y=-4x+7 cos x d/dx (-4x+7 cos x )=

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Q: dy Find xp x/3 y = cos () dt CoS

A: Given : y = ∫x3π3cost3dt

Q: Solve D.E using Exact from first order (x' +y' )dx+(2xy + cos y)dy

A: A differential equations M dx + N dy = 0 is exact if  My = Nx

Q: rt%3Dr/6 t cos(2t) dt t=D0

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Q: dy dx 2 cos y 3 Csc x

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Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: x cos (y²) dy dx

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Q: dy Find dx 1/4 | sin (?) dt y =

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Q: dy Find for y = cosx(1 + cscx) dx %3D

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Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: (y − cos²x) dx + cos x dy = 0

A: To solve the differential equation: y-cos2 xdx + cos x dy=0 Let us simplify this, y-cos2 xdx + cos x…

Q: cos(x + y), when x = 0,y = dx 2 = dy : %3D

A: To solve the differential equation we can use a substitution u=x+y and then we can use variable…

Q: Use this equation to find dy/dx. 4y cos(x) = x² + y2

A: We will differentiate  equation with respect to X.

Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: L(cos at) = %3D s2 - a2 صواب İhi O

A: Given that  L(cosat)=s/(s^2-a^2) To find the condition is true or false

Q: If y = (2x² – 3x+4)(e¯* – cos 4.x), then find dy at x = 0 dx

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Q: y = sin(Ax + B)

A: We will find the Differential equation as following.

Q: dy 7. Find ,y = cos³xsinx? dx

A: Given: y=cos3xsinx2 Formula used: Product rule of derivative: ddxf×g=dfdx×g+dgdx×f Power rule of…

Q: Find the value of -4t e cos(4t) dt.

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Q: y²dy e2x а. dx У (0) %3D 1 ex b. 8 cos? y dx + csc² x dy = 0, %3D y 12 4

A: Part(a) We have  y2dydx=e2x+1ex, with initial condition y0=1 This can be written as: y2dy=e2x+1exdx

Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: Find the solution of the this differantial equation. extan(y)dx + [(ex)/(x-1)]dy = 0

A: Hair we use the variable separable method to solve this equation.

Q: y = sin (4x+13) find dy 9.

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Q: y (1) = t+ Mt-r)cos zdt , y(0) = 0 0.

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Q: dy Find dx? 9x+ 3y = 4 sin (y) d²y dx

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Q: Use this equation to find dy/dx. 8y cos(x) = x2 + y2 dy dx II

A: Given  8y cos(x)=x2+y2We find dydx

Q: If Xy +y'=1, find at the point Co,-1) 4P dx 2 5- the value of

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Q: d Cvaluate dx cos (r² + 1) dt

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Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: dy 7. dx = cos(x + y), when x = 0,y == 4

A: Differential equations, with substitution method and separation of variables

Q: dy dx 2. 2X for y = cos (Inx + e) %3D

A: ddx(Cos(x)) = -sin(x)ddxex =exddx(log(x)) =1xddxxn=nxn-1Chain ruleddxf(f(x)) =f'(f'(x)) Here , In…