In this page creating differential equations worksheets we are going to see some practice questions of the topic differential equation.

Form a differential equations by eliminating arbitrary constants given in brackets against each.

(i) y² = 4ax {a}

(ii) y = a x² + bx + c {a,b}

(iii) x y = c² {c}

(iv) (x²/a²) + (y²/b²) = 1 {a , b}

(v) y = A e^(2x) + Be(-5x) {A , B}

(vi) y = (A + Bx) e^(3x) {A , B}

(vii) y = e^(3x) {C cos 2 x + D sin 2 x} {C , D}

(viii) y = e^(mx) {m}

(ix) y = Ae^(2x) cos (3 x + B) {A, B}

(2) Find the differential equation of the family of straight lines

y = m x + (a/m) when

(i) m is the parameter

(ii) a is the parameter

(iii) a,m both are parameters

(3) Find the differential equation that will represent the family of all circles having centers on the x-axis and the radius is unity.

- Practice questions of order and degree
- Substitution method
- Decomposition method
- Properties of integrals
- Integration-by parts
- Integration-of Sec³ x
- Standard integrals
- Integrating quadratic denominator
- Integration-using partial fractions
- Definite integrals