Question

Solve the following differential equation:

(D ^ 3 - 9D ^ 2 + 27D - 27) * x = 5 * (e ^ 5) ^ (2y) + 1 + 2y + 3y ^ 2​

Answer 1

Answer:

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Answer 2

⭐ Answer⭐

The given equations are

⇒ x + 2y = – 1 … (i)

⇒ 2x – 3y = 12 …(ii)

From equation (i), we get

⇒ x = – 1 – 2y … (iii)

Putting x’s value in Equation (ii), we get

⇒ 2(- 1 – 2y) – 3y = 12

⇒ – 2 – 4y – 3y = 12

⇒ – 7y = 14

⇒ y = 14/- 7

⇒ y = – 2

Putting y’s value in equation (iii), we get

⇒ x = – 1 – 2y

⇒ x = – 1 – 2 × (- 2)

⇒ x = – 1 + 4

⇒ x = 3

Here, x = 3 and y = – 2.

Hence, the solution of the given equation is x = 3, y = – 2

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