b) Find the general and definite solutions of the first order differential equations (i) dy/dt +2y=2...
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b) Find the general and definite solutions of the first order differential equations (i) dy/dt +2y=2 y(0)=7 dy/dt - 9y=10 y(0)=11 dy/dt+y=5 y(0)=1/5 dy/dt+4y= 1/3 y(0) = 9 dy/dt +3y=-3 y(0)=12 (vi) dy/dt+y=0 y(0)=7 c) Find the integrals of the following functions (i) J10x²(x+2)/dx (ii) f(lnx)³ dx (iii) Jx(x+1)³ dx (iv) x²lnxdx 3 (vi) (20x+6x)/(x2+3x² + 100) dx I √5xe dx Find the general and definite solutions of the first order difference equations Y+3Y, 11 Yo -4 Y+Y=9 Yo=14 Y+0.5Y=6 (iv) Y+Y,= -0.2Y, Yo=2 33 Y-5Y=11 Yo=10 (vi) Y-2Y-7Y, +10 Yo=18 Yo=30 b) Find the general and definite solutions of the first order differential equations (i) dy/dt +2y=2 y(0)=7 dy/dt - 9y=10 y(0)=11 dy/dt+y=5 y(0)=1/5 dy/dt+4y= 1/3 y(0) = 9 dy/dt +3y=-3 y(0)=12 (vi) dy/dt+y=0 y(0)=7 c) Find the integrals of the following functions (i) J10x²(x+2)/dx (ii) f(lnx)³ dx (iii) Jx(x+1)³ dx (iv) x²lnxdx 3 (vi) (20x+6x)/(x2+3x² + 100) dx I √5xe dx Find the general and definite solutions of the first order difference equations Y+3Y, 11 Yo -4 Y+Y=9 Yo=14 Y+0.5Y=6 (iv) Y+Y,= -0.2Y, Yo=2 33 Y-5Y=11 Yo=10 (vi) Y-2Y-7Y, +10 Yo=18 Yo=30
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b Firstorder differential equations i dydt 2y 2 To solve this linear firstorder differential equation we can use an integrating factor The integrating factor is e2 dt e2t Multiply both sides of the eq... View the full answer
Related Book For
Fundamentals of Database Systems
ISBN: 978-0136086208
6th edition
Authors: Ramez Elmasri, Shamkant Navathe
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