Jee Neet QnA - Recent questions in Differential Equations
https://jeeneetqna.in/questions/mathematics/differential-equations
Powered by Question2AnswerA curve y = f(x) passing through the point (1,2) satisfies the differential equation x dy/dx + y = bx4 such that
https://jeeneetqna.in/1587/curve-passing-through-point-satisfies-differential-equation
A curve y = f(x) passing through the point (1,2) satisfies the differential equation $x{dy\over dx}+y=bx^4$ such that $\int\limits_1^2f(y)dy={62\over5}$. The value of b is<br />
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(1) 10<br />
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(2) 11<br />
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(3) $32\over5$<br />
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(4) $62\over5$Differential Equationshttps://jeeneetqna.in/1587/curve-passing-through-point-satisfies-differential-equationThu, 04 Mar 2021 12:09:52 +0000Population of a town at time t is given by the differential equation dP(t)/dt = (0.5) P(t) − 450. Also P(0) = 850
https://jeeneetqna.in/1563/population-town-time-given-the-differential-equation-also
Population of a town at time t is given by the differential equation ${dP(t)\over dt}=(0.5)\ P(t)-450$. Also P(0) = 850 find the time when population of town becomes zero.<br />
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(1) $\ln9$<br />
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(2) $3\ln4$<br />
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(3) $2\ln18$<br />
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(4) $\ln18$Differential Equationshttps://jeeneetqna.in/1563/population-town-time-given-the-differential-equation-alsoTue, 02 Mar 2021 15:21:19 +0000If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4
https://jeeneetqna.in/646/polynomial-degree-three-local-maximum-local-minimum-value
If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0) is equal to<br />
<br />
(1) –24<br />
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(2) –12<br />
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(3) 6<br />
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(4) 12Differential Equationshttps://jeeneetqna.in/646/polynomial-degree-three-local-maximum-local-minimum-valueSun, 06 Dec 2020 09:22:16 +0000Let y = y(x) be the solution of the differential equation, 2 + sinx / y + 1 . dy/dx = − cosx, y > 0, y(0) = 1.
https://jeeneetqna.in/642/let-the-solution-of-the-differential-equation-sinx-dy-dx-cosx
Let $y=y(x)$ be the solution of the differential equation, ${2+\sin x\over y+1}.{dy\over dx}=-\cos x,\ y>0,\ y(0)=1$. If $y(\pi)=a$ and $dy\over dx$ at $x=\pi$ is $b$, then the ordered pair $(a, b)$ is equal to :<br />
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(1) $\left(2, {3\over2}\right)$<br />
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(2) (1, –1)<br />
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(3) (2, 1)<br />
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(4) (1, 1)Differential Equationshttps://jeeneetqna.in/642/let-the-solution-of-the-differential-equation-sinx-dy-dx-cosxSat, 05 Dec 2020 11:58:22 +0000If y = y(x) is the solution of the differential equation, satisfying y(1)=1, then y(1/2) is equal to :
https://jeeneetqna.in/87/the-solution-differential-equation-satisfying-then-equal
If $y=y(x)$ is the solution of the differential equation, $x{dy\over dx}+2y = x^2$ satisfying $y(1) = 1,$ then $y({1\over2})$ is equal to :<br />
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(1) $7\over64$<br />
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(2) $13\over16$<br />
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(3) $49\over16$<br />
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(4) $1\over4$Differential Equationshttps://jeeneetqna.in/87/the-solution-differential-equation-satisfying-then-equalWed, 21 Oct 2020 11:47:20 +0000