1,272 Answered Questions for the topic differential equations
Differential Equations
09/24/23
Solve the given differential equation.
dx/dt =(9/(xe^(11x+t))Let x(t) be the solution with initial value x(0) = 1. If t0 = (-ln(10/1089)e^11+1), find the value of x (t0) with the answer rounded to exactly 4 digits after the decimal point.
Differential Equations
09/23/23
Solve the given differential equation.
dx/dt =(9/(xe^(11x+t))Let x(t) be the solution with initial value x(0) = 1. If t0 = -ln(10/1089)e^11+1), find the value of x (t0) with the answer rounded to exactly 4 digits after the decimal point.
Differential Equations
09/21/23
Solve a Bernoulli Equation
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
dy/dx = y(xy2 − 1)
Differential Equations
09/21/23
Solve a Bernoulli Equation
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.x(dy/dx)+y=1/(y^2)
Differential Equations
09/21/23
Solve the given initial-value problem. The DE is homogeneous.
Solve the given initial-value problem. The DE is homogeneous.(x + yey/x) dx − xey/x dy = 0, y(1) = 0
Differential Equations
09/21/23
Consider the following homogeneous differential equation. x dx + (y − 2x) dy = 0 Use the substitution x = vy to write the given differential equation in terms of only y and v.
Consider the following homogeneous differential equation.x dx + (y − 2x) dy = 0Use the substitution x = vy to write the given differential equation in terms of only y and v.
Differential Equations
09/16/23
estimated a driver takes on average 1.5 sec from seeing obstacle to reacting by applying the brake or swerving. How far will car traveling at 79 mph travel (in ft) before driver reacts to obstacle?
Differential Equations
09/16/23
Sound travels about 750 miles per hour. you stand in a parking lot near a building and sound a horn, you will hear an echo. Suppose it takes about ½ a sec. to hear echo. How far away is building in ft
Differential Equations
09/16/23
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 23 by 28 ft brick patio installed.
Differential Equations
09/16/23
takes a hose 25 minutes fill rectangular aquarium 10 inches long, 9 inches wide, 11 inches tall. How long will it take the same hose to fill a aquarium measuring 16 inches by 10 inches by 13 inches
Differential Equations
09/16/23
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 23 by 28 ft brick patio installed.
Differential Equations
09/14/23
From first principle, differentiate the function f(x) = x 4 − x 2 .
From first principle, differentiate the function f(x) = x 4 − x 2 . Find the equation of the tangent line to the graph of f at the point where x = 2.
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Differential Equations
09/06/23
Solution to Diff Eq question
1g. Find all of the solutions of the given differential equation: y'=-e^2t+4y
Differential Equations
09/06/23
Diff Eq Question
Find all of the solutions of the given differential equation: 2y'= t / (y-3)
Differential Equations
09/06/23
Basic Diff Eq Question
For what value(s) of r, if any, is y=ert a solution of the differential equation y'' - 3y' + y = 1.
Differential Equations
06/23/23
Using Power Series - Find The Solution of a Differential Equation
xy''+2y'+xy=0y(0)=1 and y'(0)=01) Find out where the first point on the positive-x-axis is located where the solution to the initial value problem is zero.2) Find the closed form of the solution...
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Differential Equations Linear Algebra
06/16/23
Suppose a tank contains 5 gallons of water and 1 pound of salt. The tank begins draining at 2 gallons per minute as fresh water is added at 1 gallon per minute.
Suppose a tank contains 5 gallons of water and 1 pound of salt. The tank begins draining at 2 gallons per minute as fresh water is added at 1 gallon per minute. How much salt is in the tank after 4...
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06/09/23
The number of bacteria in a certain culture grows at a rate that is proportional to the number presentThe number of bacteria increased from 300 to 800 in 2 hours
The number of bacteria in a certain culture grows at a rate that is proportional to the number presentThe number of bacteria increased from 300 to 800 in 2 hours.a. State the initial value problem...
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06/07/23
check if the differential equation x^2 * y’ = x* y + y^2 is:
check if the differential equation x^2 * y’ = x* y + y^2 is:a) linearb) separable c) Exact
06/07/23
check if the differential equation x^2 * y’ = x* y + y^2 is:
check if the differential equation x^2 * y’ = x* y + y^2 is:a) linearb) separablec) Exact
06/07/23
Is differential equation x^2 * y’ = x* y + y^2 a) linear b) separable c) Exact
Is differential equation x^2 * y’ = x* y + y^2a) linearb) separablec) Exact
06/07/23
Is differential equation x^2 * y’ = x* y + y^2 a) linear b) separable c) Exact
Is differential equation x^2 * y’ = x* y + y^2 a) linearb) separable c) Exact
05/31/23
Is this diffrential equation linear or non-liner?
1.) y'' + (2/x)*y' + 3 = x^32.) x*y^3 + x^3 *y' - 33.) sin(x)*y^(4) - (1/x)*y^(2) = cos(x)4.) y'' + 2x* (y')^5 = e^4x
Differential Equations
05/31/23
Find the equation of the tangent to the curve x^3-2y-8x-3=0 at the point (1,2)
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