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Maths-

General

Easy

Question

Solution of differential equation $fraction numerator d y over denominator d x end fraction equals 2 x y$ is

$y = c e^{x^{2}}$
$y^{2} = 2 x^{2} + c$
$y = e^{- x^{2}} + c$
$y = x^{2} + c$

The correct answer is: $y equals c e to the power of x to the power of 2 end exponent end exponent$

$not stretchy integral fraction numerator d y over denominator y end fraction equals not stretchy integral 2 x d x$ Þ $log subscript e end subscript invisible function application y equals x to the power of 2 end exponent plus c$
Þ $y equals e to the power of x to the power of 2 end exponent plus c end exponent equals e to the power of c end exponent e to the power of x to the power of 2 end exponent end exponent$ Þ $y equals c e to the power of x to the power of 2 end exponent end exponent$ .

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