PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
The differential equation representing the family of curves y = a sin (x + b), where a, b are arbitrary constants is:
1
\(\frac{{{d^2}y}}{{d{x^2}}} + \sin \left( {x + b} \right) = 0\)
2
\(\frac{{{d^2}y}}{{d{x^2}}} + \sin y = 0\)
3
\(a\frac{{{d^2}y}}{{d{x^2}}} + by = 0\)
4
\(\frac{{{d^2}y}}{{d{x^2}}} + y = 0\)