1,272 Answered Questions for the topic differential equations
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
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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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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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)=
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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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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...
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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 =
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...
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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...
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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
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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05/02/21
Show that B is the inverse of A.
A = -1/2 -5/4 B = 8 51 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ = ____ ____ 8 + ___ 5 + ___ ____ ____BA = -4 +...
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Differential Equations Math
05/01/21
method of solution of differential equation in general form first Solve in detail after proving on the equation.
(𝑦 ′ )^3 . 𝑥 − (𝑦 ′ )^2 . 𝑦 − 1 = 0
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04/30/21
Show that B is the inverse of A.
A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ...
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04/30/21
Use the matrix capabilities of a graphing utility to solve (if possible) the system of linear equations. (Round your answers to two decimal places. If there is no solution, enter NO SOLUTION.
2x + 5y+ w= 15x + 4y + 2z - 2w= -72x - 2y + 5z + w = 2x - 3w = -1(x, y, z, w) = ______
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