Class 12

Math

Calculus

Differential Equations

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

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Statement 1 : Degree of the differential equation $2x−3y+2=g(dxdy )$ is not defined. Statement 2 : In the given differential equation, the power of highest order derivative when expressed as the polynomials of derivatives is called degree.

Let $y=y(t)$ be a solution to the differential equation $y_{prime}+2ty=t_{2},$ then $16(lim)_{t∞}ty $ is_______

Solve $ydx−xdy+gxdx=0$

Find the order and degree of the following differential equation: $ln(dxdy )=ax+by$

The solution of the differential equation $(e_{x_{2}}+e_{y_{2}})ydxdy +e_{x_{2}}(xy_{2}−x)=0is$

The solution of the differential equation $y_{prime}y_{primeprimeprime}=3(y_{primeprime})_{2}$ is

The solution of the differential equation $(x_{2}y_{2}−1)dy+2xy_{3}dx=0$ is

The solution of the differential equation $dx(x+2y_{3})dy =y$ is