Class 12

Math

Calculus

Differential Equations

Find the general solution of the differential equations:$xdydx +2y=x_{2}gx$

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Determine order and degree (if defined) of differential equations given$y_{m}+2yprimeprime+yprime=0$

Determine order and degree (if defined) of differential equations given$dx_{4}d_{4}y +sin(yprimeprime)=0$

Find the equation of a curve passing through the point $(0,2)$given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

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The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4

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Find the general solution of the differential equations:$dydx +secxy=tanx(0≤x<2π )$

Find the general solution of the differential equation $dxdy =2−yx+1 ,(y=2)$