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Homogenous Linear Differential Equations

1. (D ^ 2 + 3D) * y = 0


2.(D ^ 2 + D - 7) * y = 0


PART A. Homogenous Linear Differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0 3. (D ^ 2 + 3D) * y = 0


PART A. Homogenous Linear differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0


6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0


7. (4D ^ 3 - 3D + 1) * y = 0


5. (D ^ 3 - 3D ^ 2 + 4) * y = 0


4. (D ^ 2 + D - 7) * y = 0


3. (D ^ 2 + 3D) * y = 0


Explain the Principles of sustainable design. [


Slider crank mechanism as shown in the figure calculate the i) Acceleration of the slider B ii) Acceleration of the point E iii) Angular acceleration of the link AB OA rotates at (30+X) rad/s in counter clockwise direction (10marks) X is the last digit of the student roll no. for example if the student roll no is A09 then X=9 and ω=30+9=39 rad/s. Draw the neat and clean diagram with proper scale. Rough drawings will not be considered


In a slider crank mechanism the length of the crank OB is (100+X)mm and length of the connecting rod is (475+X)mm. The center of gravity G of the connecting rod is (250+X)mm from the slider A. crank speed is (500+X)rpm clockwise. When the crank has turned 45 deg. From the inner dead center. Determine( using both relative velocity method and Instantaneous center method) 1. Velocity of the slider 2. Velocity of point G 3. Angular velocity of the connecting rod AB Note where X is two digit number made from the last two digit of the registration number of the students For example if the reg. no. of the student is 11912081 then X=81 Draw the neat and clean diagram with proper scale. Rough drawings will not be considered 


In crank and slotted lever quick return mechanism, the crank length is (100 +X )mm and the distance between the fixed center is (225+X)mm. The length of the slotted lever is (525+X)mm. Determine the ration of time of cutting stroke to time of return stroke. Also calculate the length of the stroke . Note where X is two digit number made from the last two digit of the registration number of the students For example if the reg. no. of the student is 11912081 then X=81 and crank length is 80+81=161mm Draw the neat and clean diagram with proper scale. Rough drawings will not be considered. 


How much energy is released by the sun in a minute? Use Einstein’s equation for special relativity.








Which of the following is the best reactor/reactors set up for autocatalytic reactions? ( )




A) PFF followed by MFR




8) MFR followed by PFR




C) Single MFR DY Single PFR

For, A→ R, liquid phase reaction carried out in a 1000 liter MFR with CAo=10 mol/lit, v=10 lit/min, -rA = 0.9 mol .lit¹.min¹ ,what is the exit concentration of A (in mol/liter)? ( )





A)1




B)3




C)5




D)7


Solve with steps ?

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