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Linear differential equation of second order

द्वितीय कोटि के रैखिक अवकल समीकरण (Linear Differential Equation of Second Order):

  • द्वितीय कोटि के रैखिक अवकल समीकरण (Linear Differential Equation of Second Order):An equation of the form
    \frac{d^{2}y}{dx^{2}}+P(x)\frac{dy}{dx}+Q(x)y=R(x) is Called a linear differential equation of the second order, where P, Q and R are functions of x alone (or perhaps constants). There is no loss of generality in taking the Coefficient of \frac{d^{2}y}{dx^{2}} unity, since this can always be achieved by division. Equations of this kind are of great importance in physics, such Bessel’s and Legend’s equations.
  • In general the above equation cannot be solved explicitly in terms of known elementary functions and we often have to resort to a power series solution. However here we shall confine ourselves only to certain procedures which at times yield a compact solution.
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द्वितीय कोटि के रैखिक अवकल समीकरण (Linear Differential Equation of Second Order):

  • Complete solution of the Differential Equation,When One Integral of the Linear Differential Equation of second order,complementary function is known

Linear differential equation second order

Linear differential equation second order

Linear differential equation second order

  • In the above article, the second order linear differential equation has been explained
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