773 Answered Questions for the topic differential equations

Differential Equations

7d

#### Given that dy/dx = 9y² - 4 and that y = 1 when x = 2. Find an equation expressing x in term of y.

#### Calculus question related to vectors need help!

Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 cos(t), (15 − t)(1 − sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters. The...
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Differential Equations

8d

#### If dy/dx=1/t find d^2y/dx^2

If x=at^2 ,y=2at, find dy/dx and d^2y/dx^2 in terms of t

Differential Equations

16d

#### General and particular solution

Show complete solution and use equation function.1. Find the general solution of xdx = 9x²dx- ydy.2. Find the general solution to the equation (cos y + 2) dy/dx = 2x.

Differential Equations

19d

#### Find the derivative of the function x=1/2t^4-5t-3

Find the derivative of the function x=1/2t^4-5t-3 USING THE LONG METHOD

Differential Equations

19d

#### find the derivative of y=u^6-2u^3+5/u^2

Find the derivative of y=u^6-2u^3+5/u^2

Differential Equations

20d

#### Find the order and degree of Ry" =[1+(y')^2]^3/2

Differential Equations

21d

#### Find the first derivative of z=x^3-xy^2+3y^2

Differential Equations

23d

#### Graph the line that passes through the points ( 2 , 5 ) and ( − 1 , − 4 ) and determine the equation of the line.

25d

#### For the function shown below, find each of the following limits. (If an answer does not exist, enter DNE.)

f(x) = 7x, x ≤ 0 x2 + 9, x > 0'(a) lim f(x) = _____ x→0−(b) lim f(x) = _____ x→0+(c) lim f(x) = _____ x→0

#### Differentiation

A woman at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can...
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#### Applications of Differentiation

Consider the function f(x)= 2sin(x) + [(sqrt3)/2] x2 This function has two inflection numbers A<B in [0,2pi]:A= and B= For each of the following intervals, tell whether f(x) is concave...
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#### Applications of Differentiation

Consider the function f(x)= cos(x) - (1/2)x. This function has two critical numbers A<B in [0,2pi]. Give the following: A=B=f''(A)=f''(B)=

28d

#### Applications of Differentiation

The revenue from selling q items is R(q) = 550q-q^2 , and the total cost is C(q) = 175+6q. Write a function that gives the total profit earned, and find the quantity which maximizes the...
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28d

#### Applications of Differentiation

Consider the function f(x)=x^(9) e^(9x) , -2<= x <=1.The absolute maximum value is =and this occurs at x equals =The absolute minimum value is = and this occurs at x equals =

28d

#### Applications of Differentiation

Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and...
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28d

#### Applications of Differentiation

Consider the function f(x)= 2x^3 - 6x^2 - 48x + 7 on the interval [-4,8]. Find the average or mean slope of the function on this interval. Average slope: 24 By the Mean Value Theorem, we know there...
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05/15/21

#### Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. (If an answer does not exist, enter DNE.)

(a) f(0) = ______(b) lim f(x) = ______ x→0 (c) f(3) = ________(d) lim f(x) = _______ x→3

05/14/21

#### As we have seen, a solution of t2y''+6ty′+4y=28t3+8 can be found by writing yp=u1y1+u2y2 as done in lecture. Find u1u1.

As we have seen, a solution of t2y''+6ty′+4y=28t3+8 can be found by writing yp=u1y1+u2y2 as done in lecture. Find u1u1.−4t7/3−2t4/34t7/3+2t4/34t7/3+2t4/3−7t4/3−8t/3

Differential Equations Calculus

05/08/21

#### Solve differential equations by using integrating factors

(dr/dθ)+rcotθ=sinθ
y+x(x-1)(dy/dx)=x3e-x^2
x(dy/dx)=y+x2(sin+xcosx) and y = 0 when x = π/2
dy/dx = x - xy and y = 0 when x = 0

Differential Equations Calculus

05/08/21

#### Solve Differentational equations using integrating factors.

tanx (dy/dx)+y=extanx
dv/dt=t-2vt
x(dy/dx)+2y=(sinx)/x
x(dy/dx)=y-x2e-x

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