If y = a xn+1 + bx–n and then write the value of λ.

Given:y=axn+1 +bx-nλy=n(n+1)a xn-1+2 +n(n+1)bx-n-2+2λy=n(n+1)[a x^(n+1)+bx^(-n)]λy=n(n+1)λ=n(n+1)

Q1 of 96 Page 12

If y = a xⁿ⁺¹ + bx^–n and then write the value of λ.

Given:

y=axⁿ⁺¹ +bx^-n

λy=n(n+1)a x^n-1+2 +n(n+1)bx^-n-2+2

λy=n(n+1)[a x^(n+1)+bx^(-n)]

λy=n(n+1)

λ=n(n+1)

Write the correct alternative in the following:

If xy – log_e y = 1 satisfies the equation x(yy₂ + y₁²) – y₂ + λyy₁ = 0, then λ =

Write the correct alternative in the following:

If y² = ax² + bx + c, then y³is

If x = a cos nt – b sin nt and then find the value of λ.

If x = t² and y = t³, where a is a constant, then find