State the order of the given ordinary differential equation. t8y(6) - t4y" + 5y = 0 Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1. d-ly 1(x) dx-1 dy ++ a 2₁(x)- + a(x)y= g(x) (6) n- dx linear O nonlinear

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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State the order of the given ordinary differential equation.
ty(6) ty" + 5y = 0
Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.
an-ty
1
any
an(x)-
+ a
+ ... + a₁(x)-
2₁(x)= x
1(x)_0
dxn-1
+ a(x)y = g(x) (6)
dx
linear
O nonlinear
n
Transcribed Image Text:State the order of the given ordinary differential equation. ty(6) ty" + 5y = 0 Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1. an-ty 1 any an(x)- + a + ... + a₁(x)- 2₁(x)= x 1(x)_0 dxn-1 + a(x)y = g(x) (6) dx linear O nonlinear n
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