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Integral Calculus> Find a general solution of the differenti...

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Find a general solution of the differential equation y-(5)^(1/2)y=0?

Mohit Chhabra , 9 Years ago

Grade 12

1 Answers

Sumit Majumdar

Last Activity: 9 Years ago

The given equation is:
$\frac{d^2y}{dx^2}-5^{\frac{1}{2}}y=0$
Let’s assume a general solution as:
$y=y_0\exp{(kx)}$
Therefore, we get:
$\left(k^2-5^{\frac{1}{2}}\right)e^{kx}=0$
Therefore the general solution is: $y=y_0exp^{\left( 5^{\frac{1}{4}}x\right )}$

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