MTH401 - Differential Equations Mid Term Paper

Q1) Define super position principle of particular solution non Homogeneous Linear
deferential equation?
Q2) If a mass weighing15lb stretches a spring 3ft then fid K using hook’s law?
Q3) what is an auxiliary equation of a Homogeneous differential equation .also give its
two examples.
Q4) what is the general solution of deferential equation?
Q5) Take a deferential equation
2
2 0
d y dy
a b cy
dx dx
+ + = we take its exponential solution
mx y = e , by putting the above solution we get equation ( ) 2 0 mx e am + bm+ c = . What will
be its general solution if roots are distinct real roots?
Q6) Find the complementary solution for the equation ( ) 2 3 2 1 x y¢¢ − y¢ + = x + e
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