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CBSE CLASS XII

Formation of differential equations.

Q. 1. Form the differential equation of the following family of curves:

1. y=
2. y = asin(x+b)
3. y = Acosmx + Bsinmx ,
4. y = c+cx+cx²
5. y = e^2X (a+bx)
6. e^x (acosx +bsinx)
7. Y = ae^3X + be^-2x
8. (x-a)² + (y-b)² = r² .
9. Family of ellipses having foci on x-axis and centre at the origin.

Q. 2. Family of circles touching x-axis at the origin.

Q.3. Family of parabolas having vertex at the origin and axis along positive direction of x-axis.

Q.4 Family of curves y = ae^2x + be^-x

Q.5. Family of circles having centre on the x- axis and the radius is unity.

Q.6. Family of circles in the first quadrant which touches the co-ordinate axis.

Variable Separable

Q.1. Solve

Q. 2. Solve .

Q.3. Solve

Q. 4. Solve sin -1= (x+y)

Q. 5. Solve cos -1= (x+y)

Q. 6 . log =3x+4y, given y =0 when x = 0.

Q.7. Solve

Q. 8 . Solve .

Paper By Mr Vasu Raj
Email Id : [email protected]
Ph No. : 9940116934