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The orthogonal trajectories of the family of curves y=anxn are given by

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Important Questions on Differential Equations - II

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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 22
The curve for which the length of the normal vector is equal to the length of the radius vector, are
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IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 23
The solution of the equation dydx=x3 y2+xy is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 24
The solution of the equation y dx-x dy=x2y dx is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 25
If f(x) is differentiable, then the solution of dy+f'(x) (y-f(x))dx=0 is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 26
If xdydx=y(logy-logx+1), then the solution of the differential equation is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 27
The solution of (x2+xy)dy=(x2+y2)dx is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 28
The solution of the differential equation dydx2-xdydx+y=0, y(1)=-2, is
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JEE Main
IMPORTANT
Eduwiser's INTEGRAL CALCULUS For JEE Main & Advanced>Chapter 10 - Differential Equations - II>EXERCISE>Q 29
The solution of the equation xdy-ydx=x2-y2dx subject to the condition y(1)=0, is