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

09/14/23

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.
Differential Equations Math Algebra 1 Algebra 2

09/12/23

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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... more
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... more
Differential Equations Math Calculus Chemical Engineering

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... more
Differential Equations Math Calculus Chemical Engineering

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
Differential Equations Math Calculus Chemical Engineering

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
Differential Equations Math Calculus Chemical Engineering

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
Differential Equations Math Calculus Chemical Engineering

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
Differential Equations Math Calculus Chemical Engineering

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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