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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Firstorder differential equation b i dydt 2y 2 The first step in solving this is to determine the integrating factor which is provided by e2 dt e2t Multiplying the integrating factor on both sides of ... View the full answer