State the order of the given ordinary differential equation

State the order of the given ordinary differential equation. t^7y^(6) - t^4y\" + 5y = 0 Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1. a_n(x)d^n y/dx^n + a_n -1(x)d^n - 1 y/dx^n-1 + ... + a_1 (x) dy/dx + a_0 (x) y = g(x) (6) linear nonlinear

Solution

2. Consider the given equation

t⁷ y⁽⁶⁾ + t⁴ y^\'\' + 5y = 0

Since 6 th derivative is the highest derivative in the above equation.

Hence , the order of the given equation is 6.

(b) the equation is linear differential differential equation of n th order