The differential equation dy - 3xy? + 6xy + (– 3x?y + 3x² – 3). = 0 dx Has solutions of form F(x, y) = c where F(x, y) = %3D

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: Solve using separable differential equations dy X dx y2V1 + x

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Q: dy The solution of the differential equation 2xy dx = x² + 3y² with y(1) = 3 is dx

A: Topic = Differential equation

Q: 5. Solve (y² + 3xy³) dx + (1 - xy)dy = 0.

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Q: -3/2 -¹² (2²³ + 2x) da with y(0) = 0, y(3/2) = 1. (c) J[y] = =

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Q: y′ = −y(5 − y)

A: Recall the following fact.

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: Find the general solution of the linear differential equation: dy dx + (5x + 1)y=e-52.

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Q: dy-(2y xe+2x²yex) dx (6 y3x -2x² e%) 1 the generl solution of the differential tion.

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Q: The differential equation 3x?yy' – 3x5 = y?can be changed to linear by the substitution (a) v = y?…

A: Put y=vx So, none of these is correct option.

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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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 differential equation by using an integrating factor:y/+9y = x³e-9x Oxe-9 + C x²4e-9x +…

A: The given problem is to solve the given differential equation by using integrating factor. Given…

Q: ne differential en y(3) =

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Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

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Q: Solve y(y ³-x) dx + x(y² + x) dy=0 A B 2xy²-x²=cy² D 3 3 2xy ³ - x²=cy ³ © 2xy³-x²=cy² (C) 2xy³ – x³…

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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.