Differential equation - deflection of bar.

I am having trouble obtaining the answer of the following problem:

The deflection of a 5-meter-long board from the horizontal satisfies the differential equation d^2y/dx^2=-0.0004(5-x)^2, where x is the horizontal distance from its fixed end. If the deflection is zero and the board is horizontal at its fixed end, then find:

a)the equation which measures the deflection at any point

Re: Differential equation application

Quote:

Originally Posted by

**johnsy123** I am having trouble obtaining the answer of the following problem:

The deflection of a 5-meter-long board from the horizontal satisfies the differential equation d^2y/dx^2=-0.0004(5-x)^2, where x is the horizontal distance from its fixed end. If the deflection is zero and the board is horizontal at its fixed end, then find:

a)the equation which measures the deflection at any point

Assuming that represents the deflection, then

Keep going to find and use your conditions to evaluate the constants.