Verify that the function y = ax2 + bx + c is a solution of the differe

1.	Verify that the function y = ax2 + bx + c is a solution of the differential equation img 189.
Answer» The given function is y = ax² + bx + c Differentiating both sides with respect to x, we have img 188 Again differentiating both sides with respect to x, we have img 200 Which is the given differential equation. Thus, y = ax² + bx + c is a solution of differential equation d²y/dx² = 2a.

Verify that the function y = ax2 + bx + c is a solution of the differential equation img 189.

Answer»

The given function is y = ax² + bx + c

Differentiating both sides with respect to x, we have

img 188

Again differentiating both sides with respect to x, we have

img 200

Which is the given differential equation.

Thus, y = ax² + bx + c is a solution of differential equation d²y/dx² = 2a.