Do 9 Principal Axes and Conic Section of Quadratic Equation

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Principal Axes and Conic Section of Quadratic Equation 9 x^2 + 6 xy + y^2 =10 Solving ODEs by Matrix Method: Find x(t) and y(t): x\' = x + 4y x(0) = 1 y\' = x + y y(0) = 0

9x² + 6xy + y² = 10

( 3x )² + 2( 3x )( y ) + ( y )² = 10

( 3x + y )² = 10

( 3x + y ) = 10 or ( 3x + y ) = - 10

3x + y - 10 = 0 or 3x + y + 10 = 0

Therefore , the above conic equation denotes pair of straight lines .

$Do 9 Principal Axes and Conic Section of Quadratic Equation 9 x^2 + 6 xy + y^2 =10 Solving ODEs by Matrix Method: Find x(t) and y(t): x\' = x + 4y x(0) = 1 y\'$

Do 9 Principal Axes and Conic Section of Quadratic Equation

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