1,280 Answered Questions for the topic differential equations

Differential Equations

06/08/21

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
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Differential Equations

05/31/21

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.
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Differential Equations College Math Advanced Mathematics

05/29/21

Use​ Green's functions to solve the given boundary value problem.
Use​ Green's functions to solve the given boundary value problem.y'-y=6x; y(0)=0, y(2)=0
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Differential Equations

05/28/21

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
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Differential Equations

05/28/21

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

05/27/21

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

05/26/21

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

05/24/21

Graph the line that passes through the points ( 2 , 5 ) and ( − 1 , − 4 ) and determine the equation of the line.
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Differential Equations Calculus Precalculus Computer Programming

05/22/21

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
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Differential Equations Math Calculus Sat Math

05/20/21

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... more
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Differential Equations Math Calculus Sat Math

05/20/21

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... more
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Differential Equations Math Calculus Sat Math

05/20/21

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)=
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Differential Equations

05/20/21

solve the differential equation
dy/dx= (x+y+3)/(2x+2y+1)
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Differential Equations Math Calculus Mathematics

05/19/21

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... more
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Differential Equations Math Calculus Mathematics

05/19/21

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 =
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Differential Equations Math Calculus Mathematics

05/19/21

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... more
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Differential Equations Math Calculus Mathematics

05/19/21

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... more
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Differential Equations Calculus Precalculus Statistics

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 
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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
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Differential Equations

05/12/21

solve the equation
2x+3=15what is the value of xA 15B 12C 6D 2
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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
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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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Differential Equations Calculus

05/07/21

What's the solution of : dy/dx=ay^2
With a a constant and y the derivative of Y. I find y(x) = y(0)•exp(aY+c)With c a constant. Thank you for helping.
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Differential Equations

05/07/21

Find the general and particular solution of (1 + 4xy — 4x^2 y)dx + (x^2 — x^3 )dy = 0; when x = 2, y = 1/4
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Differential Equations Calculus

05/05/21

Need help with solving differentiation equation using integrating Factor
The questions are:dy/dx + 3y =e-3xdy/dx + ycotx = cosecx x2dy/dx + xy = x +1dy/dx - 3y/(x+1)=(x+1)4
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