Class 12

Math

Calculus

Differential Equations

Form the differential equation of the family of circles touching the y-axis at origin.

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What is the degree of the differential equation(d3ydx3)2/3+4−3(d2ydx2)+5(dydx)=0?

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin?

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

Consider the equation $a_{2}+λx_{2} +b_{2}+λy_{2} =1,$ where a and b are specified constants and $λ$ is an arbitrary parameter. Find a differential equation satisfied by it.

The solution of the differential equation $dxdy =x_{2}−2x_{3}y_{3}3x_{2}y_{4}+2xy $ is

Solve the equation $ydx+(x−y_{2})dy=0$

Form the differential equation of family of lines concurrent at the origin.

Solve $(dxdy )+(xy )=y_{3}$