Bernoulli's Differential Equation | Reducible to linear Differential Equation | Problem 1 | Maths
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- เผยแพร่เมื่อ 4 ก.พ. 2025
- problem on Bernoulli's Differential Equations
numerical on Reducible to linear differential equation
first order differential equations
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1/y2 = y-2 not y-1
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6:00 Sir 😢 -1y^-1-1 likh ke kyun phir se dy/dx likh rehe ho ?
Jaise hum x^2 differentiation krte hai dx^2/dx=2xdx/dx
dx/dx=1 hota hai isiliye hum keval 2x likh dete hai
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Sir divide by y^n hoga not y^2
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If 4(y d_{w} + p(x) * y = Q(x) * y ^ n is a Bernoulli differential equation then tick the correct statement(s).
(a) For n = 1 given differential equation can be solved by variable separable.
dv b) For n ne1 on substituting y^ n-1 =v gives (- v)/(dx) + (1 - n) * p(x) * v = (1 - n) * Q(x)
(c) * Forn = 1 given differential equation can be written as y^ prime prime (uy)/(dx) + p(x) * y ^ (1 - u) = Q(x)
(d) For 1 given differential equation can be written as y ^ (- n) * (ay)/x + p(x) * y ^ (- (n - 1)) = Q * (x)
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