- sin y, dz = cos x dx – cos y dy

Q: (2y cosx + sin“ x)dx = sin x dy ,when x =",y = 1 5y= 1 %3D X 2

A: 2ycosx+sin4xdx=sinxdy,   x=π2,   y=1:A first order linear ODE has the form of y'x+pxy=qxLet y be the…

Q: find dy/dx. y = cos x/1 + sin x

A:

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: slove the DE cos x dx/dy +ysinx =sinx cosx

A: r(x) = y'(cos x)  +y(sinx) =sinx cosx   The complementary equation Put r(x) = 0  is (cos x)y' + (sin…

Q: dy 1. dx x(2 In x+1) siny+y cos y

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

Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

A:

Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

A: It is given that, tanh-1xy+ex+y=5cosy. The objective is to find dydx. Formulas used:…

Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

A:

Q: ecsch(ry) + Tr° -cos(0)

A: Let's find.

Q: (cos y+ ycosx)dx + (sin x –xsin y)dy = o

A:

Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

A:

Q: D. (e' sin y+ tan y) dx+ (e cos y +x sec y) dy 0

A:

Q: find dy>dx.

A: y=cosxx+xcosx Differentiate the above function with respect to x.…

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: sin x dy Given: y = Compute for dx 1-2 cos x

A: The given function is y=sin x1-2 cos x

Q: . cosx dy + y(sin x – 1) dx = 0; when x = , y= -2 %3D

A: This is linear differential equation. We will first convert this equation into simplified form and…

Q: Find dy/dx by implic differatiation. c)sin(xy)=cos(x+y)

A: to find dydx of  sin(xy)=cos(x+y)

Q: find dy/dx y = cos (x2)

A: Given y=cosx2 Applying derivative with respect to x: Using chain rule:…

Q: - (2y cosx + sin* x)dx : sin x dy, when x =y= 1 %3D

A:

Q: Find dy/dx. Y = cos (cos x). A sin(cos x) sinx sin x cos x sin x B.

A:

Q: determine dy/dx if xy = ecsch(x)+πcos(0)

A: Given, xy = ecsch(x)+πcos(0)

Q: Find dy/dx for y=cos^-1(x^1/2)

A:

Q: dy + y cos(x) = 6 cos(x) dx

A:

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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Q: (cos y- zsee'y) de – sin y dy = 0

A:

Q: dy Find dx if cos(x)cos(y) = sin(x)sin(y) + 3x + 3y – 2. O 1 O -2

A: Given:       cosxcosy=sinxsiny+3x+3y-2       cosxcosy-sinxsiny=3x+3y-2 We know that…

Q: Find dy. Y= sin (5x^2) dy= ? dx

A:

Q: find dy/dx. y = x2 cos x

A: Here given function as Use the product rule of derivative

Q: В. Find dz/dx , əz/@y at the point (1,1,1) if x³ + z2 + ye*z + xz cos y = 0 .

A:

Q: Find if y%3D cos (2x)+ 2еж: dx dy

A:

Q: Find when y = cos(sin 2x). ay dx dy dx

A:

Q: e^(x)cos(y)=1+sin(xy) dy/dx?

A: To differentiate :

Q: dy -y In (yecos)dx 4. COS Y sin x dx

A: The detailed solution is given below Thank you

Q: x cos z dy dx dz X Cos

A: Given,          ∫0π2∫01∫01-x2xcoszdydxdz

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: dy [y = COS X %3D dx x sin x.

A: Given equation: y=cosxxsinx

Q: (e* – sin y) dx + cos y dy = 0; when x = 0,y = 1 - %3D

A:

Q: Find dy/dx y = -sec u, u = x- COS X |

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Q: find dy/dx. y = (sin x + cos x) sec x

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Q: dy x- y = x.cos² ² 1- dx

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

Q: dy 1) cos(x – y) + sin(y + x) dx

A:

Q: dy Find of sin x + cos y = ety. dx

A:

Q: y.cos(z) dx dy dz * 0 0

A: Given that: ∫01∫0π∫0πy.coszdxdydz

Q: 2. cos(y)dx= x(sin(y)-x)dy

A:

Q: (y cos x + 2xe") dx + (sin x +x²e + 2) dy = 0; when x = 0, y = 0

A:

Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,

Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.