# Problems On Special Form Of X In Differential Equation

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**Problems on Special Form of X in Differential Equation (Type-2):**

**1.** Solve (D^{2 } 9)y = cos 4x.

**Solution:** Given equation is (D^{2} 9)y = cos 4x

A.E is m2 9 = 0

i.e m = ±3i

∴ The general equation is y = C.F P.I

**2.** Solve (D^{2 } D 1) y = sin2x

**Solution: **The A.E is m^{2 } m 1 = 0

Multiply and divide by (D 3)