Find the solution and the interval of existence for  (1-x2)dy/dx +2y = (1-x)2

Q: 5x + 6x dx. Find х - 1

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Q: solve  (y2+2x2y)dx+(2x3-xy)dy=0

A: Consider the given differential equation:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: Find - 6x+1 x² +1 -dx.

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Q: Va –2 -dx aㅎ (V+1)

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Q: Solve (5x + 9y) dx + (9x+ 5y) dy

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

A: We have to solve given problem:

Q: (2x-2y-1)dx-(x-y+1)dy=0

A:

Q: x2+1 - dx x4-x²+1

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Q: dx V4 - x - dx 2 8)

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Q: 3—4х dx =? Vx2+6x+1

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Q: (x2 - 4x + 4)4/3 dx -

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: (x² + 4)³/2 -dx

A: Given integral is: I=∫x2+432xdx Integrating it: Put:u=x2+4dudx=xx2+4dx=x2+4xdu…

Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: Solve (xy+x)dx - (x2y2+x2+y2+1)dy=0 using separation of variable

A: Let's find.

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

A:

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.