The order of the differential equation, whose general solution is given by y= ( c ₁+ c ₂ ) (x+ c ₃ )- c ₄ e ^ x+ c ^5 where c₁, c₂, c₃, c₄ and c₅ are arbitrary constant, is

Step-by-step solution

aligned y= & (c₁+c₂ ) (x+c₃ )-c₄ e ^ x+c^5 = & (c₁+c₂ ) (x+c₃ )-c₄ e ^x e ^ c₅ = & A (x+c₃ )-B e ^x & [ ~A =c₁+c₂, B=c₄ e ^ c₅ ] aligned There are 3 arbitrary constants. Order of the given differential equation is 3.