1,272 Answered Questions for the topic differential equations

Differential Equations

02/27/24

Two years of local Internet service cost $685 including the installation fee of $85. What is the monthly fee?
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Differential Equations

02/23/24

Write and graph the inequality

5 less than x is a maximum of -10
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Differential Equations

02/21/24

implicit differential equations

Given the differential equation dy = e^x · sin( y), verify that a given implicit solution dx satisfies the ODE. Then, find at least one explicit solution y = φ(x) and use a graphing utility to... more
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Differential Equations Calculus

02/20/24

Ordinary differential equation with a model
A pond forms as water collects in a conical depression of radius a and depth h. Suppose water flows in at a constant rate k and is lost through evaporation at a rate proportional to the surface... more
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Differential Equations

02/17/24

Need help with differential equations about undetermined coeffiecients
Find the general solution of:y ′′ + 8y ′ + 17y = costI got the complementary solution of y = e^-4t (Acost + Bsint)I am not sure how to get the particular solution, I made the guess using Acost +... more
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Differential Equations

02/02/24

Identify Quadrilaterals from Coordinates (Level 1)
The points I, left bracket, minus, 6, comma, 3, right bracket, comma, J, left bracket, 2, comma, minus, 5, right bracket, comma, K, left bracket, 6, comma, minus, 1, right... more
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Differential Equations

02/01/24

Need help solving Solutions of Linear Homogeneous Equations via the Wronskian
Find the domain of the solutions of ty′′ + 3y = t defined at x = 1.I am really confused about how to solve the domain defined at x =1 with the Wronksian method
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Differential Equations Math

02/01/24

Solve System of Equations from Context
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $900. The law firm... more
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Differential Equations Linear Algebra

01/30/24

Consider the differential equation
d2x/dt2 - dx/dt - x = cos(t)This equation could describe a forced damped oscillator, as we will see in Chapter 9. We are told that the differential equation has a solution of the form x(t) =... more
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Differential Equations

01/27/24

Help with Exact Equation Problem

I need help solving this exact equation problem:x(xy+1)y' + y(xy+1) = 0I solved the problem up to the function with respect to y and got this:fy(x,y) = x^2/2 + x + h'(y)I am not sure how to go from... more
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Differential Equations

01/25/24

writing equations

The price of gas at a local gas station is currently $3.50 per gallon. You have a $50 budget for gas this week. How many gallons of gas can you buy with your budget?
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Differential Equations

01/18/24

Need hep with Initial Value Problem

Hello I keep getting stuck on these two problems and can't seem to figure out how to solve it y'=2-y , y(0)=1 y'=y(2-y) , y(0)=1
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Differential Equations

01/14/24

Cardinal numbers

Cardinal number for B ={x | x£N and 4< x < 10}n(B) =
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Differential Equations Math Calculus Sat Math

12/22/23

Basic partial derivative verification question
I have F=y'(1+x2y'), and I need to find ∂F/∂y and ∂F/∂y'The answer I get for ∂F/∂y is 0, which is the correct one. However for ∂F/∂y' I should get 1+2x2y', but for some reason I get 1+2x2y'+y'x2.... more
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Differential Equations Math

12/21/23

Solving system of diff equations using elimination
I am trying to solve this system of differential equations via elimination method but I am stuck. Any help on arriving at correct solution.
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Differential Equations Math Calculus Sat Math

12/20/23

Solving an interesting integral using residue

I have this interesting integral to solve using residues. So far I have only noted that cos(x)=Re(eix), but I can't seem to arrive at the full solution. I would appreciate any help.
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Differential Equations Calculus

12/19/23

Calculus Differentiation Question
A conical pile of rocks increases in volume at a rate of 16pi/3 cubic feet per minute. When the height of the pile is 30 feet, the radius is 10 feet. What is the rate of change of the height of the... more
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Differential Equations

12/06/23

Solve the DE using reduction of order
y" + 4y' + 8y = -t^2
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Differential Equations

12/06/23

Solve the following DE using undetermined coefficients
x'' - 2x' + x = e^t/t
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Differential Equations

12/06/23

Find the laplace transform
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Differential Equations

12/05/23

Solve the Differential equation by reduction of order
y" + y = sec x
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Differential Equations

12/05/23

Solve the Differential equation by variation of parameters
y'' - 4y' + 3y = xe^-x
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Differential Equations

12/05/23

Solve the Differential equation by variation of parameters
(2D^3 - D^2 + 8D - 4)y = 5x - cos x
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Differential Equations

12/05/23

Solve the Differential equation by inspection
(D^3 - 7D - 6)y = x^2 + e^x
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Differential Equations

12/05/23

Solve the Differential equation by inspection
d^2q/dt^2 + 64 q = -32
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