(cos y + Gxy3) dx + ( 2kx³y²-x any)dy=o

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

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Q: d²y + 4y = x² sin 2x dx2

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Q: dx (2) 3y sin x 2xy cos x = 0 dy (3) 3x²y² + 2x³y -= 0

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Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: 1. (3xy - 4y - 1)dx + x(x-2)dy - 0

A: This is a problem related to differential equation. First of all we will convert this equation into…

Q: // sin(7x²) dx dy. Compute O y/3

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Q: COs 2.r dx x² + 2x + 2

A: In this question, we find the principal value of the integral by using residue theorem

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: 2.) 2 (x -y)dx + (3x² - GxY - 2x) dy

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Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: y 2sin x-cos 2.x for 0° sxs360

A: Consider the function, y=2sinx-cos2x Differentiate with respect of x,…

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: ( sin(3x) e **) + 32- – 4y = 4x (By u x2 (-1-4) (4)(3:5) dx

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: (tan y+2)dy cos y4-9 tan² y -9tan

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Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: y³x2 + yx³ - 20y² – 10y = 0 sin(x?) = cos(y³)

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Q: d’y - 2 y = 5x' + In(x²). dx

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Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: (e² sin³(2r) (d) y= ln 2x2 + 1

A: Given, y=lnexsin32x2x2+1 derivate both side and find dydx dydx=ddxlnexsin32x2x2+1…

Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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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: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: 5-(x^2-y^4)dy/dx=xy

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Q: 3 7x + 6x - 5x dy find dx - Example 28. If y = 4

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Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

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Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

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

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Q: 2 1) (-2xy) dx + ( Sing-x²) dy

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

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Q: 3 sin(3x) 2cos (4y) dy dx (-)= 3 4

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Q: 5. (4xy-y²+10x²+sin x)dx+(2x²-2xy+ cos y )dy=0

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

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Q: 2. sin y(x + sin y)dx + 2x² cos ydy = 0

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Q: æ' = y – 5 sin (3t); y/ = -4x + 17 cos (3t) , ift = n, x = 7; y = -4

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Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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Q: Find dy/dx 1. y= cos ( -2x -10) 2. y= cos³ -5x

A: We have to find derivative dy/dx.

Q: d (cos² 2x)=-2sin 4.x dx 12 Show that %3D

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Q: b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

A: To show the boundary value problem has unique solution we solve the given ode by method of…

Q: (2xsinx +3 cos y)dx-3x sin ydy 03 ....

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Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: (2x²³x+ sin(x2-x) + y ) dx + (x²y-x) dy = 0

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Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: y" -gy = 3e* + x - sin4x %3D

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