Question

find the value of d^{2}y/dx^{2} at t =π/4 if
x=sint, y=tant

Answer #1

Find the solution for the initial value problem.
(sint)y′ +(cost)y=t, y(π/2)=2

Find dy/dx and d2y/dx2 for the given parametric curve. For which
values of t is the curve concave upward? x = t3 + 1, y = t2 − t

Find dy/dx and d2y/dx2.
x = t2 + 6, y = t2
+ 7t
For which values of t is the curve concave upward?
(Enter your answer using interval notation.)

Find the equation of the tangent line to x = sint, y = cost when
t = π/4

Find the
i)particular integral of the following differential equation
d2y/dx2+y=(x+1)sinx
ii)the complete solution of d3y /dx3-
6d2y/dx2 +12 dy/dx-8 y=e2x
(x+1)

Find the particular integral of the following differential
equations.(Explain each step clearly)
(a) d2y/dx2 + y = (x + 1) sin x.
(Hint:In this case, we substitute sin αx or cos αx with
eiαx then use the shift operator. In the case of sin αx
we extract the imaginary part.)

Find the particular integral of the following differential
equations.(Explain each step clearly)
(a) d2y/dx2 + y = (x + 1) sin x.
(Hint:In this case, we substitute sin αx or cos αx with
eiαx then use the shift operator. In the case of sin αx
we extract the imaginary part.)

Solve the given initial-value problem.
(d2y)
/dθ2
+ y = 0, y(π/3) =
0, y'(π/3) = 8

Using Taylor series expansion method; find a series solution of
the initial value problem
(x2+1)d2y/dx2+xdy/dx+2xy=0
y(0)=2 y'(0)=1

Given ?=?^(−?) and ?=??^(6?) find the following derivatives as
functions of ?.
dy/dx=
d2y/dx2=

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 14 minutes ago

asked 23 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago