(2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

Q: integrate |8x2 x+7 dx 8xx+7 dx =| Vx+7dx

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Q: y - 1 %3DCOS (7x*) dy dx %3D

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Q: ve

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Q: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

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

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Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: x2+1 - dx x4-x²+1

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Q: 8. (D2- 2D+ 1)y = xlnx

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Q: dy y + 3x %3D dx

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Q: y ²x ²dy + 4xydx = 0

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Q: 2x - 3y = 7 y = 3x – 7 .

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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: x²ydx + (x2 + y²)dy = 0 %3D

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Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

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Q: find y' for Zy%3D2X-2y

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Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: dy y secx + ytanx dx %3D

A: Given differential equation is : dydx=ysecx+ytanx

Q: 7²y+3y1 = -8 dy/dx %3D

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: (2x2y - 2y2+ 2xy)dx + (x² - 2y)dy = 0 %3D

A: As we know that the differential equation Mdx-Ndy=0 is said to be exact. If ∂M∂y=∂N∂x The solution…

Q: T= tan (x+2y+ 3Z) %3D Find: Txx XX Tx Txy Ty Tyy Tyx Tz Tzz Tzx T zy

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Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

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Q: (2x-4y)dydx 3.

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Q: If y=8x3+2x2+5xy=8x3+2x2+5x, then d2y/dx2=

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