Differential Equations Answers

Obtain the gradient of the following scalar field :
U(X,Y,Z)=X^2Zcos2Y

solve the linear equation x dy/dx + 3y = 6x its power is 3 solve this urgently

Solve y"-5y'-6y=e^(-t) where y’(0) = 1 and y(0) = 1 using LaPlace Transforms

Find the Taylors expansion of f(x) = Sin x at x = 0.

show that the length of the curve y= log Sec x between the point x=0 and x=60 is log(2+√ 3)

Find the nth derivative of
i) Cos mx
ii) Cos2x

I na bank,principal increses continusoly at the rate of r% per year.find thevalue of r if Rs 100 double itself in 10 years(log e^2=0.6931)?I na bank,principal increses continusoly at the rate of 5% per year.find thevalue of r if Rs 1000 double itself in 10 years(log e^2=0.6931)?

Your question (max 1024 symbols)I na bank,principal increses continusoly at the rate of r% per year.find thevalue of r if Rs 100 double itself in 10 years(log e^2=0.6931)?I na bank,principal increses continusoly at the rate of 5% per year.find thevalue of r if Rs 1000 double itself in 10 years(le^1/2=0.1648)?

I na bank,principal increses continusoly at the rate of r% per year.find thevalue of r if Rs 100 double itself in 10 years(log e^2=0.6931)?I na bank,principal increses continusoly at the rate of 5% per year.find thevalue of r if Rs 1000 double itself in 10 years(e^1/2= 1.648)?

find taylors expansion of f(x)=sinx at x=0