document.write( "Question 1070767: For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) =4y, y(0) =5; Delta(t) = 0.5 \n" ); document.write( "

Algebra.Com's Answer #685768 by Fombitz(32388) $\"\"$ $\"About$

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$\"t%5Bn%2B1%5D=t%5Bn%5D%2BDELTA%2At\"$
\n" ); document.write( " $\"y%5Bn%2B1%5D=y%5Bn%5D%2BDELTA%2At%2Af%28x%5Bn%5D%2Cy%5Bn%5D%29\"$
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\n" ); document.write( " $\"t%5B0%5D=0\"$
\n" ); document.write( " $\"y%5B0%5D=5\"$
\n" ); document.write( " $\"DELTA%2At=0.5\"$
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\n" ); document.write( " $\"t%5B1%5D=t%5B0%5D%2B0.5=0%2B0.5=0.5\"$
\n" ); document.write( " $\"y%5B1%5D=y%5B0%5D%2B0.5%284y%5B0%5D%29=3y%5B0%5D=3%285%29=15\"$
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\n" ); document.write( " $\"t%5B2%5D=t%5B1%5D%2B0.5=0.5%2B0.5=1\"$
\n" ); document.write( " $\"y%5B2%5D=y%5B1%5D%2B0.5%284y%5B1%5D%29=15%2B2%2815%29=45\"$ \r
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