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Mth401
Rao Umair (BSCS III) thanks for sharing ./..
ur welcm sir
Jazzak Allah for sharing..
Q1. Y = emx then construct an auxiliary equation for
d2y/dx2 +dy/dx+2y=0
Q2. The general solution is the combination of which two solution ???
Q3. m2+8m+16 is the solution of d2y/dx2+8dy/dx +16 =0 then find the general solution
Q4. Show the following equation in the form of h(x)=g(y)
d2y/dx2-2 dy/dx+5y=2siny
Q5. By using the newton law show that
T(t1 -tm)/T(t2 –tm)=ek(t1-t2)
When t(0) =t0 is initial condition
Paper 1:-
Question No 1: Define cycle of a vibrating body (2)
Question No 2: Construct the auxiliary equation of the following differential equation
3 d2/dx2 - 4 dy/dx = 0
www.vuzs.net
Question No 3: Solve the following intial value problem
(Integral sign) dT/ T-Tm = (integral sign) K(dt), T(0) = T0
Question No 4: Factorize the differential equation D4 – 8d2 + 16 if possible
Question No 5: Find the wronsktin of the differential equation
Y``` -2y``-18y = 6 + 4-t using variation of parameter and the root of the auxiliary equation is m1 = -3 , m2 = -1 , m3 = 6?
Question No 6: A radioactive isotope has a half-life of 16 days we have 30 g at the end of 30days, how much radio isotope was initially present?
The solution of the IVP (initial value Problem) is given by A (T) = A0 ekt , where K = Ln2/ 16
Paper 2:-
Question No. 1) Define super position principle of particular solution non Homogeneous Linear
deferential equation?
Question No. 2) If a mass weighing15lb stretches a spring 3ft then fid K using hook’s law? vuzs.net
Question No. 3) what is an auxiliary equation of a Homogeneous differential equation .also give its
two examples.
Question No. 4) what is the general solution of deferential equation?
Question No. 5) 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?
Question No. 6) Find the complementary solution for the equation ( ) 2 3 2 1 x y¢¢ ? y¢ + = x + e
Paper 3:-
MTH401 Q.No.1) Define super position principle of particular solution non Homogeneous Linear deferential equation?
MTH401 Q.NO.2) If a mass weighing15lb stretches a spring 3ft then fid K using hook’s law? vuzs
MTH401 Q.No.3) what is an auxiliary equation of a Homogeneous differential equation .also give its two examples.
Paper 4:-
Q.1. write all the forms of g(x) in the method of undetermined coefficients where g(x) is rght hand side of Non-homogeneous linear differential equation ?
Q. 2. Deduce the special use of logistic Equation "Epidemic Spread"?
Q. 3. what will be the auxiliary Equation of 2nd order Homogeneous Linear Differential equation by taking solution of exponential form y''-2y'+y=et/t2+1
Q. 4. find the auxiliary equation for the differential equation
y'''-2y''-21y'-18y=3+4e-t
Q. 5. Define general linear equation of order n ?
Koi solve he kar dain in questions ko, koi banda week b hota hai Math main
My today's paper of 11 o'clock:
paper was of 40 marks:
20 mcq's ,2 questions of 2 marks,2 questions of 3 marks,2 questions of 5 marks.
some mcq's was from past papers and some was new.
1-If half time(T) of radioactive isotope is 5,then find k. (2 marks)
2-Write equation of free undamped motion.(2 marks)
3-The equation was given,and it was to tell is it linear dependent or independent? (3 marks)
4-One was from find particular integral of the equation.(3 marks)
5-In this question,it was to write the annihilator operator and general equation.(5 marks)
6-Deduce the special use of logistic Equation "Epidemic Spread"?(5 marks)
ALL THE BEST TO ALL THE STUDENTS...!
My today paper of Mth401:
20 mcqs
Question):21
solve the logical equation
dp/dt=p(a_bp)
Question):22
Differentional equation d3y/dx3=tanx write down the first colum of w1?
Question):23
Take the derivative of the given equation?
Question):24
find the auxiliary equation for the differentional equation of
ysquare+9y=3tan(3t)
Question):25
find homogenous equation is given
bas itna yad ha paper
Best of luck All
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