Find the derivative of the function.
Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...
A: we are given a differential equation as
Q: calculate the integral of: e(x^2/2)
A: We'll use the Maclaurin series expansion for e^(x^2/2).
Q: Please help!
A: Recall the quotient rule for derivative:
Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).
A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...
Q: Help me please..
A: The Taylor series for cosx at x=0.
Q: y′−6x=5+2y y(0)=−3 Is y=e2x −3x−4 a solution to the initial value problem shown above?
A: The given differential equation is y′−6x=5+2y.The solution of the deferential equation is given as, ...
Q: Use the derivative f' to determine local minima and maxima of f and the intervals of increase and de...
A: When f'(x)>0 then f(x) is increasing. Answer: f(x) is increasing in (-4pi/3,-pi)U(-2pi/3,-pi/3)U(...
Q: y = t(lnt)2 Find the derivative
A: According to the chain rule of derivative,Using the above rule, where u = t and v = ln t
Q: Use Green's Theorem to evaluate the line integral oriented counterclockwise. Please refer to attach...
A: Given information:The circulation of the line integral of F=<3x^2, 6x^3+y>. where C be the bou...