Solve: (y + ya)dx +x²dy = 0 ||

Q: Solve 2xy dy - (x² +y² + 1)dx=D0

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Q: Solve DE  P2-70+12,where p=dy/dx

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Q: Apply Substitution method and solve 2n + S dn.

A: Given: ∫2x+5x2+4x+5.dx We can write it in following way:…

Q: solve using bernoulli's equation 2xdy + y(y2lnx-1)dx = 0

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Q: dy ху Solve dx (1+y2)

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Q: Solve DE (x2-2xy)dy=(y2-2xy)dx

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Q: cln3 Sng tanh(x) sech³(x) dx JIn2

A: To find: ∫ln2ln3tanhxsech3xdx

Q: T (3 sec² x + 4 csc² x) dx 3

A: The given integral,        ∫π3π43sec2x+4csc2xdx

Q: [xVtan x² sec* x² dx -

A: Given,         ∫xtanx2sec4x2dx

Q: dx х V1-4 ln2х

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Q: 1) dx

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Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: Solve - s d²y + 6y = 2 sin 4x dx | %3D .2

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Q: 2 Solve equation (D² +1)y-secx tan x using method of variation of parameters. %3D

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Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: Solve dv/dx +2ytanx=y2.

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Q: Q3) Solve for (y) if: In(y-2)= In(sinx)-x

A: As per our guidelines we are supposed to answer only one question. Kindly second question as the…

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: Solve: 5 -dx 2 V1+x*

A:

Q: Solve 2x (x* – 3)3/2 dx by substitution

A: c)    Given:         ∫2x3x4-332dx       Apply u-substitution.      substitute…

Q: Use C for any constant of integration. ' 6x³ + 2x? – 20x – 12 - - dx = x² – 4 -

A: The given integral is ∫6x3+2x2-20x-12x2-4dx. We have to evaluate the given Integral

Q: dx 12 S. x-3)

A: 12. ∫451x-3dx

Q: Solve dv/dx+2ytanx=y2

A:

Q: Solve :一 (2 +x)y メ +4メ dxー ナリメ

A: The form of equation is,                         x2d2ydx2 +p(x) dydx+q(x)y =0

Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

A:

Q: )xsin(x?) dx

A: The given integral is: ∫0πx sinx2dx To integrate this, consider x2=t  .... (1) On integrating both…

Q: 1 dx x² V5 -

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Q: 4 dx x2 4x2 - -- x2

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Q: Solve equation for x  2cosx+1=secx

A: Here, the given equation is 2cosx+1=secx Put secx as 1cosx gives, 2cosx+1=1cosx2cos2x+cosx=1

Q: 3x dx V1-x

A: Integral is given

Q: Solve dy 2x-y = dx

A: Differential equation and it's solution

Q: lax +3y-5) dx + (3x-y -

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Q: S(sec x tan x + 10xº)dx %3|

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Q: Solve dy/dx =(4x+y+1)2

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Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

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Q: sec?x - dx |1- 4tan²x 1 –

A: We will solve this question using simple Integration formulae.

Q: ∫sec^2(x)dx

A: The given integral is ∫sec2x dx

Q: dx (x² + 1)2 0.

A: Solution:-

Q: find dy dx X2+ уг — -- =4 Ч

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Q: solve sin2x dy -y=tanx dx

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Q: 2 Solve =. dx x+2y-3

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve (x-y)dy=ydx

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Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: Solve y' + 3x?y = .2, sin(x)e-° with y(0) = –3. -x3

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Q: Solve: (2x2+4y)dx+(4x+y-1)=0 www

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Q: (62 - y+3) dz+ (3y2-a-2) dy= 0

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Q: calculate d2y/dx2 when y=-2/x2

A: Given: y=-2x2

Q: sec²(/x) dx 38.

A: According to the guideline we should have been able to solve only one question at a time #38

Q: 3x dx | sec 2

A: