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(i) For which value of r does the function y=(t6+1)r satisfy the differential equation dy / dt = t 5 / y 5 (ii) y'=0.1x+0.4y

(i) For which value of r does the function y=(t6+1)r satisfy the differential equation

dy / dt = t5 / y5

(ii) y'=0.1x+0.4y , y(4)=0.3 . Use Euler's method to estimate y(5) with step size h=0.5 to two decimal points

(iii) y'=0.1x+0.4y , y(4)=0.3 . Use Euler's method to estimate y(5) with step size h=0.25 to two decimal points

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