Find the formula for the Laplace transform of the derivative of a function y'. Use the initial condition y(0) = y0, use y and y' respectively for y(t) and y' (t) and Y for the Laplace transform of y. L{y (t)}(s) = e-sty (t)dt

Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

Q: Find the derivative of the function. F(t) = e9tsin(2t)

A: differentiate the given equation with respect to t using product rule and chain rule

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: Find dy/dx by implicit differentiation. tan(x - y) = Y 1+x²

A: Given function is Differentiating both sides with respect to x, we get