(y³ – y² sin x – x) dx = -(3xy + 2y cos x) dy %3D

Q: d²y If y=cos 4xr, then at x = 0 dx?

A: Given,     y=cos4x

Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: dy 3. dx y – x + cos - -

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Q: y² dx + (xy +y² – 1) dy = 0 1) 2) 2x(x²– sin y+1)dx + (x² +1) cos ydy=0

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Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

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

A: The detailed solution is given below Thank you

Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

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

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Q: 6. (y – cos²x)dx + cos x dy = 0

A: Given that: (y-cos2x)dx+cosx.dy=0

Q: Can you help me step by step?

A: According to the given information the given function is:

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: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: PCx g) - Sin (zy)- Cosx'+x*y? %3D find d'f df dye' de dy

A: Given function is  f(x,y) = sin(x,y) - cosx^2 + x^2y^2

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

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Q: e2 (2 cos y dx – sin y dy) = 0, y(0) = 0 – sin y dy) = 0, У (0) %3D

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Q: (sin(æ) + 2 cos(y)) dy ^ dz + (zổ – y cos(x)) dz A dæ + 11xyz dx ^ dy. Find dw. dw dx ^ dy ^ dz

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Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

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: (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0 What is the general solution?

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Q: d´y _gªy +16y = 6.xe* -8. 1. |dx? dx 2. у" - Зу' + 2y %3D е* 3. у" - Зу' + 2у - coS x 4. у" - Зу' +…

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Q: d?y dy 20. 4 + 4y = 2e2x – 12 cos 3x - 5 sin 3x, at y(0) = -2 and y(0) = 4 dx2

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Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

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Q: 2. [sin y -ysinx]dx+(cos.x+xcos y+2y)dy=D0 (4x°y-4xy)dx-(x-x dy D0 3.

A: Given that: (y2+4x2y-4xy)dx+(x2-x3)dy=0

Q: Q3 Find dy/dx on the graph y3 sec /x2 + y2 = cos2x at point (1, 2).

A: We have to find the derivative  of given expression at point (1, 2)

Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: (x – y* + y? sin )dx - (3xy + 2y cos r)dy subject to initial condition y(0) = 1 (M

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Q: Find dy/dx of y sin -1). A 3. B 1-9r2 D

A: Y= sin-1(1/x)  and we have to find dy/dx

Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

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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: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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

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Q: 4) (у-сos' x) dx + cos xdy %3D0 5) 2y(y² - x)dy = dx

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Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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

A: The detailed solution is given below Thank you

Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

A:

Q: cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D

A: Let's find.

Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: 1 dy ( = y(y + sin x), y(0) = 1 + cos x 2xy 1+ y? dx

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Q: 30. cos(r + y?) dx dy 32. x²+ y² dx dy 2 y

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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: dx 3. 2y cos x + 4y sin x = sin 2x, given y =0 when x n/3.

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

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Q: Find the solution of dx - (1+2x tany) dy = 0

A: Given: dx-1+2xtanydy=0

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

A: We have to find derivative for given function.

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…