Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

Q: E33.5 (a) Sketch the curve C with parametric equations I= cost, y = sint, z = sint, 0≤t≤ 2T. (b)…

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Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: Solve : y dx - (x+2y*)dy =0.

A: The given differential equation is: y dx-x+2y2dy=0 To solve the given differential equation.

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: Solve the TVP using seperation of variables By dy _x² (ity²), y(3)=0 dx

A: We solve given differential equation by method of separation of variables.

Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: 2x+(4x+y-6)dy/dx=y ODE

A: In this question, we need to solve the given ODE.

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

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Q: 2xy+4y-3)dx+(x+2)^2dy=0

A: Solution:

Q: dy/dx=(3-x-y)/(x+y) by using an appropriate substitution.

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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Q: Sel+x3/2 Vx dx ,1+3 X,

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Q: y(6y^2-x-1)dx + 2xdy =0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.