Verify that the given function is a solution of the differential equation.
y'''' + 4y''' + 3y = t; y₁(t)=1/3
Please include all steps
Thank you so much
y'''' + 4y''' + 3y = t; y₁(t)=1/3
Please include all steps
Thank you so much
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y(t) = 1/3 does not satisfy the DE, since 3 * (1/3) ≠ t.
However, y(t) = t/3 is a solution, because 0 + 4 * 0 + 3(t/3) = t, as required.
I hope this helps!
However, y(t) = t/3 is a solution, because 0 + 4 * 0 + 3(t/3) = t, as required.
I hope this helps!