Solve the differential equation (tan^(-...

Solve the differential equation `(tan^(-1)y-x)dy=(1+y^2)dx`.

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The correct Answer is:

`e^(tan-1y)`

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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (D. Very short Answer Type Questions) (Answer the following questions:)

Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...
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Form the differential equation representing the family of curves y=(A)...
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Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.
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Form the differential equation representing the family of curves y= A...
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Solve : dy= sin x dx.
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Find the order and degree of the differential equation (d^(2)y)/(dx^(2...
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Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx
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Order and degree of the differential equation ((ds)/dt) + 3s (d^(2...
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Find the sum of the order and degree of the differential equation y...
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If sinx is an integrating factor of the differential equation (dy)/...
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Write the order of the differential equation representing the family ...
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Find the general solution of : (dy)/(dx)=x^(2)+sin 3x.
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Write the particular solution of the differential equation : (dy)/(dx)...
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Solve the following differential equation: \ dy+(x+1)(y+1)dx=0
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Solve : e^(y)dx+e^(x)dy=0.
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Solve the differential equation : (x + y) (dy)/(dx) = 1 .
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Solve the following differential equations :(dy)/(dx)+2y=3.
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Solve the following differential equations : (dy)/(dx)+y=x.
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Solve the following differential equations : (dy)/(dx)-y=3x^(3).
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Solve the following differential equations : (dy)/(dx)+3y=2x.
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