Class 12

Math

Calculus

Continuity and Differentiability

Examine whether the function f given by $f(x)=x_{2}$is continuous at $x=0$.

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The general solution of the D.E. $2xydy+(x_{2}−y_{2})dx=0$ us

Find the general solution for the following differential equation.$(x−y_{3})dxdy +y=0$

Differentiate the functions with respect to x$sin(x_{2}+5)$

Find the general solution for the following differential equation.$(1+x)dxdy −y=e_{3x}(1+x)_{2}$

Find the general solution for the following differential equation.$(1−x_{2})dxdy +xy=ax$

Differentiate the following w.r.t. x:$e_{x}+e_{x_{2}}+....+e_{x_{5}}$

Find the general solution for the following differential equation:$x_{2}dy+y(x+y)dx=0$

The solution of the DE $dxdy +1−x_{2}1−y_{2} =0$ is