The solution of dy dx 2xy = x2 + 3y? when y(1) = 3 23 + 10y3 = a? a3 + y = 10x2 Option 1 Option 2 23 + y? = 102³ 23 – 10y = 102? Option 3 Option 4

Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: Find the general solution to dy/dx= 6-x^2/2y^3

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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: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: Find the general solution of

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Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: E 34 ,8-23y² dz dx dy 3-3X p3-3X-y SSS(x+y+2)dy dx dz

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find dy/dx, given the following: y = (2+2x) * V2r-4 (z3 +2x) 17-36z2+10r-24 (2x-4) (2x-4)? (z+2x) (…

A: y=x3+2x32x-4Differentiate

Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: Show that if you differentiate both sides of x2 +2y³ = 6, the result is dy dx 2x + 6y² = 0. Then…

A: Given function is x2+2y3=6 Power rule of differentiation states that  ddxxn=nxn-1 And ddxconstant=0…

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

Q: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

A: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Show that if you differentiate both sides of x 2 + 2y 3 = 6, the result is 2x + 6y2 (dy/dx)= 0. Then…

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Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: Show that if you differentiate both sides of xy +4x + 2y = 1, the re- sult is (x + 2) + y +4 = 0.…

A: we have to show that the differentiation of xy+4x+2y=1 will result in (x+2)dydx+y+4=0 and then we…

Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: 4. Obtain the general solution of x? y dy dx

A: By Bartleby policy I have to solve only first one as these are all unrelated problems

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

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Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

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Q: 30. Find the solution of exe dx-e-2Y dy = 0 %3D

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Q: 5. S , dz dy dx 2 c3

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Q: Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

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

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

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: 13. If y=(x 2+6)7​, find d 2y/dx 2. d 2y/dx 2=?

A: We have given y = x2+67 Differentiating with respect to x  dydx=ddxx2+67 dydx= 7x2+67-1 ddxx2+6…

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: (ve* +y)dx+(2xye* +1)dy = 0

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Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: Find the solution of dy/dx = (-x^2/y^2) + ( 1 / ( 3y^2 (x^3 + y^3)^2 )

A: Given: dydx=-x2y2+13y2x3+y32

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: Obtain the general solution to the equation. dy 4. x+ 2y = x-3 dx

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Q: Use RK Method of fourth-order to solve equation dy/dx = 1+y2 for x = 0.2 and x = 0.4 with h = 0.2.…

A: Given differential equation is                  dydx=1+y2 with initial condition   x=0, y=0 To solve…

Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: particular solution of y(x+y)dx + (x+2y-1) dy= 0 ; y(0) =2 NEDE is

A: Given differential equation is not exact , first make them exact and then solved them.I have given…