Class 12

Math

Calculus

Differential Equations

The solution of $ye_{−yx}dx−(xe_{(−yx)}+y_{3})dy=0$ is

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Find the order and degree of the following differential equation: $sin_{−1}(dxdy )=x+y$

The rate at which a substance cools in moving air is proportional to the difference between the temperatures of the substance and that of the air. If the temperature of the air is 290 K and the substance cools from 370 K to 330 K in 10 min, when will the temperature be 295 K?

Solve the equation $dxdy +x1 =x_{2}e_{y} $

The expression which is the general solution of the differential equation dydx+x1−x2y=xy√ is

The solution of the differential equationxsinxdydx+(xcosx+sinx)y=sinx. When y(0)=0 is

The solution to the differential equation $ygy+xy_{prime}=0,$ where $y(1)=e,$ is

Solution of differential equation x2=1+(xy)−1dydx+(xy)−2(dydx)22!+(xy)−3(dydx)33!+......... is

The differential equation whose general solution is given by $y=c_{1}cos(x+c_{2})−c_{3}e_{(−x+c4)}+(c_{5}sinx),$ where $c_{1},c_{2},c_{3},c_{4},c_{5}$ are arbitrary constants, is