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Bernoulli’s Equation - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Bernoulli’s Equation is considered one the most difficult concept.
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9 Questions around this concept.
Solve by difficulty
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \tan x)}, x \in\left(0, \frac{\pi}{2}\right)$ satisfying the condition $y\left(\frac{\pi}{4}\right)=2$. Then, $y\left(\frac{\pi}{3}\right)$ is
The temperature $\mathrm{T}(\mathrm{t})$ of a body at time $\mathrm{t}=0$ is $160^{\circ} \mathrm{F}$ and it decreases continuously as per the differential equation $\frac{\mathrm{dT}}{\mathrm{dt}}=-\mathrm{K}(\mathrm{T}-80)$, where $\mathrm{K}$ is a positive constant. If $\mathrm{T}(15)=120^{\circ} \mathrm{F}$, then $\mathrm{T}(45)$ is equal to
Concepts Covered - 1
Bernoulli’s Equation
When DE is not in the linear form, it can sometimes be converted into a linear form with the help of proper substitution.
An equation of the form
Where P(x) and Q(x) are a function of x only, is known as Bernoulli’s equation.
(If we put n = 0, then the equation is in linear form.)
To reduce Eq (i) into linear form, divide both sides by yn,
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