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CBSE Class 12-science Answered

if y=x^2 e^ax,then find y n term.
Asked by ashchutiaok | 17 Mar, 2022, 10:42: PM
Expert Answer
Given: y = x2 eax
straight y apostrophe equals 2 straight x open parentheses straight e to the power of ax close parentheses space plus space ae to the power of ax open parentheses straight x squared close parentheses
rightwards double arrow straight y apostrophe equals 2 straight x open parentheses straight e to the power of ax close parentheses space plus space ay
rightwards double arrow straight y " equals 2 open parentheses straight e to the power of ax close parentheses plus 2 xae to the power of ax plus ay apostrophe
rightwards double arrow straight y " equals 2 open parentheses straight e to the power of ax close parentheses plus straight a open parentheses straight y apostrophe minus ay close parentheses plus ay apostrophe
rightwards double arrow straight y apostrophe apostrophe apostrophe equals 2 straight a open parentheses straight e to the power of ax close parentheses plus ay " minus open parentheses straight a squared minus straight a close parentheses straight y apostrophe
rightwards double arrow straight y to the power of 4 equals 2 straight a squared open parentheses straight e to the power of ax close parentheses plus ay apostrophe apostrophe apostrophe minus open parentheses straight a squared minus straight a close parentheses straight y "
...
rightwards double arrow straight y to the power of straight n equals 2 straight a to the power of straight n minus 2 end exponent open parentheses straight e to the power of ax close parentheses plus ay to the power of straight n minus 1 end exponent minus open parentheses straight a squared minus straight a close parentheses straight y to the power of straight n minus 2 end exponent
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