4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

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Q: 7. Find the dy/dx of * y = In sin 5x

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Q: 3. cos y sin 2x dx + (cos² y – cos² x)dy = 0

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Q: The solution of following Differential Equation dy sec²y+x tan y = x³ , is %3D dx

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Q: dy + ycotx = 1 dx 2.

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Q: . (4x³y5 sin 3x + 3x*y5 cos 3x) dx + 5x*y* sin 3x dy = 0 y(0) = 1

A: See the solution.

Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

Q: 3) y sin-ly² dy

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Q: Find the general solution of dx dy xy+3x-y-3 xy-2x+4y-8

A: Given differential equation is  dxdy=xy+3x-y-3xy-2x+4y-8

Q: 3. (16x + 5y)dx + (3x + y)dy = 0 1 (Cos 2y - 3x²y²)dx + (cos 2y - 2x sin 2y - 2x'y)dy 0 the

A: In the given question we have to find the solution of the differential equation 1.…

Q: 4. Integrate COs x dx

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Q: 2. Z dx dy dz to

A: (5) Given integral is ∫02∫04−z2∫02−zzdxdydz.…

Q: S" sin" (0.5x)cos (0.5x)dx

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Q: 1. xyz dx dy dz

A: There is triple integration. First we integrate with respect to x, then w.r.t y and then w.r.t z.

Q: owing differential equations, determine the general or parti dy 2+3x dx

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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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: 2 (b) - 2y dx +(2y tan'(x )-2x +sinh (y))dy = 0

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Q: 1. Solve (cosxcos y+2x)dx-(sinxsin y+2y)dy=0

A: (cosx cosy + 2x)dx - (sin x siny + 2y)dy = 0 => cosx cosy dx + 2x dx - sin x siny dy - 2y dy = 0…

Q: 10. Find the derivative of y = ln 4**+1) In 4 dy A) dx 2x dy 2x In 4 B) dx dy 2xIn 4 C) dx 4(*+1) dy…

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Q: 4 sin (2x) dx cos (2x)t4

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Q: (b) by using gamma function x-1/3e-Bx dx

A: Gamma function

Q: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

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Q: 2. sin3x dx + 2y cos 3x dy = 0

A: Given equation - sin(3x)dx+2ycos33xdy = 02ycos33xdy =-sin3xdxydy =-sin3x2cos33xdx             Taking…

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

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Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

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

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: dy 1.- dx ах — by bx — су

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Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: I have stated the used formulas in the solution

Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Show X -メ+1 =ソ- Can be reduce d to homegenons equation 2X +y-! メ+ 2y t1 dy dx

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Q: 2n Sin (3y) dx + 3x Cos(ay) dly =o

A: Given differential equation is 2xsin(3y)dx+3x2cos(3y)dy=0

Q: х2 9 dy + sinx - у %3D0 dx

A:

Q: 1. Non-Exact DE (4x² – 4xy + 3y² + 2x – 3y)dx +x(2x – 2y + 1)dy = 0 -

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

Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: 3. Find dy dx y= 3 Sin.

A: Find derivative

Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: sinx dx e PROBLEM 1:|- secx e* dx PROBLEM 2: 2 Inx e dx PROBLEM 3 : -3x²+1 PROBLEM 4: J xe dx хе…

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Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

Q: 2. sin3x dx + 2y cos³3x dy = 0

A: Given- sin3xdx+2ycos33xdy=0 To Solve- The above differential equation.

Q: 2 1) (-2xy) dx + (Siny-x²) dy

A: see my solutions