Question

Solve the initial value problem.

f '(x) = cos(x) + sec^{2}(x), f (PI/4)=7+((sqrt2)/2)

f(x) = _______

Answer #1

Solve the initial value problem.
d^2y/dx^2= -3 csc^2 x; y' (pi/4)=0; y(pi/2)=0
The solution is y=____.

Determine the function f(x) described by the
given initial value problem. f''(x)=3sin(x), f'(pi)=-2, f(pi)=-5.
What is the value of f (0) ? Round your answer to the
nearest tenth.

Problem 15:
Find the taylor series for f (x) = cos (2x) around x = pi/4, and
find its interval and radius of convergence.

Solve the initial value problem:
x'+3x=e^(-3t)*cos(t), x(0)=-1
x(t)=?

Solve the initial-value problem.
x' + 7x =
e−7t
cos(t),
x(0) = −1
x(t) =

Solve the 1st order initial value problem:
1+(x/y+cosy)dy/dx=0, y(pi/2)=0

Solve the Initial Value Problem
(y2 cos(x) − 3x2y − 2x) dx + (2y sin(x) −
x3 + ln(y)) dy = 0, y(0) = e

1.Find ff if
f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos(x),f(0)=−7,f(π/2)=7.
f(x)=
2.Find f if
f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,
and f(π/3)=2.f(π/3)=2.
f(x)=
3.
Find ff if f′′(t)=2et+3sin(t),f(0)=−8,f(π)=−9.
f(t)=
4.
Find the most general antiderivative of
f(x)=6ex+9sec2(x),f(x)=6ex+9sec2(x), where −π2<x<π2.
f(x)=
5.
Find the antiderivative FF of f(x)=4−3(1+x2)−1f(x)=4−3(1+x2)−1
that satisfies F(1)=8.
f(x)=
6.
Find ff if f′(x)=4/sqrt(1−x2) and f(1/2)=−9.

Solve this Initial Value Problem using the Laplace
transform.
x''(t) - 9 x(t) = cos(2t),
x(0) = 1,
x'(0) = 3

Solve the initial value problem to find f(x):ⅆ?/ⅆ?= 1 +
3?2 and ?(−1) = 2

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