yey dx = (y² + 2x e¹) dy

Q: 7.2x dy + y(2 + y²x) dx = 0

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Q: Find the general solution of the differential equation 1 sin r y*y' + y*

A: The given equation is the first order differential equation:   Solve the differential equation by…

Q: (3x²y² − 3x² )dx+x³ydy−(y² − 1) / dy = 0

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Q: xdy − ydx + x³dx = 0

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Q: (x₁+) lies 1) lies on the unit circle. Find X The point (x all values of X

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Q: 3y"-Gy'+6y by = = e sec x

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Q: 1 -1 cost e' sint X' = X+ Use the method of Variation of Parameters. 1

A: we have, X'=1-111X+costsintet Consider the matrix A=1-111 and ft=etcostetsint First, solve the…

Q: 1 1 7. The system X' = 0 2 3 X+ -2 4t e Use the method of Undetermined Coefficients. 0 0 5 2

A: The given System: X'=111023005X+1-22e4t     →    eqn 1 Where X is a general solution of the system.…

Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

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Q: y" – y' - 2y = 4x2

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Q: (2xy4e + 2xy³ + y)dx + (x²y4ev - x²y²-3x)dy = 0

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Q: y" + 6y' +9 = 0

A: To find solution of the differential equation y"+6y'+9y=0

Q: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…