Find the general solution of the differential equations (ex+e−x)dy−(ex−e−x)dx=0
Let y(x) be a solution of the differential equation (1+ex)yprime+yex=1. If y(0)=2 , then which of the following statements is (are) true? (a)y(−4)=0 (b)y(−2)=0 (c)y(x) has a critical point in the interval (−1,0) (d)y(x) has no critical point in the interval(−1,0)
y=2cos x+3sin x satisfies which of the following differential equations?1.d2ydx2+y=02. (dydx)2+dydx=0Se≤ctthecorrectanswerusingthecodegivenbelow.
The marginal cost of manufacturing a certain item is given byc′(x)=dcdx=2+0.15x. The total cost function c (x), is
Which of the following does not represent the orthogonal trajectory of the system of curves (dydx)2=ax