1,272 Answered Questions for the topic differential equations

Differential Equations

12/05/23

Solve using Undetermined Coefficients
(D^2+2D+1)y = sin x + 3 cos 2x
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Differential Equations

12/05/23

Find the Laplace transform of the function
e^(-2t)sin(t+pi/3)
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Differential Equations

12/03/23

Give the solution of the following Differential Equation
(y^(5) - 18 y''' + 65y')y = 0Please show the process I know the answer is: y = C1 + C2 e^√5 x + C3 e^-√5 x + C4 e√13 x + C5 e^-√13 x
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Differential Equations

11/23/23

Molar Mass equation used

2 C2 H6 +7O2 =4 CO2+ 6 H20 this is a balance equation so how many grams of CO2 was producedHow much moles of CO2 were produced
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Differential Equations

11/10/23

Find the equation of the line that is perpendicular to 4x+5y=~8 and passes through the point (8,3)

4x+5y=~8
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Differential Equations Math Calculus Geometry

11/10/23

Calculus I Applied Optimization Problem (Objective: Find the dimensions for the package that will minimize production cost.)
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing... more
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Differential Equations Math Calculus Geometry

11/10/23

Related Rates Problem (Analytical Geometry & Calculus I)- Goal: Find the rate of change of the area enclosed between the circle and the square
A circle is inside a square.The radius of the circle is increasing at a rate of 3 meters per hour and the sides of the square are increasing at a rate of 1 meter per hour.When the radius is 6... more
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Differential Equations Calculus Geometry

11/10/23

Calculus I Related Rates (Distance between two sailing ships)
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing... more
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Differential Equations Math Calculus Geometry

11/10/23

Analytical Geometry Question! (Calculus I Trigonometry & Related Rates)
Given:A rotating light is located 16 feet from a wall. The light completes one rotation every 2 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the... more
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Differential Equations Math Calculus Geometry

11/10/23

Calculus I Related Rates Problem! (Differential Equations)
A police car is located 70 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 110 feet up the road from the location of the police... more
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Differential Equations

11/06/23

Find the solution of the following Differential Equation
y'' - 4y' + y = t^2 - 2t + 3a. y = c1 e^(2+√3)t + c2 e^(2-√3)t + t^2 - 25t + 6b. y = c1 e^(2+√3)t + c2 e^(2-√3)t + t^2 + 6t - 25c. y = c1 cos √3 t + c2 sin √3 t + t^2 - 25t + 6d. y = c1 cos √3 t +... more
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Differential Equations

11/06/23

Find the solution of the following Differential Equation
(D^2 + 6 D + 9) y = 17e^2xa. y = c1 e^-3x + c2 x e^-3x + 17/25 (e^2x)b. y = c1 e^-3x + c2 x e^-3x + 17/9 (e^2x)c. y = c1 e^2x + c2 x e^2x + 17/25 (e^-3x)d. y = c1 e^2x + c2 x e^2x + 17/9 (e^-3x)
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Differential Equations

11/05/23

Find the Laplace transform of the function f(t) = 3 + sin(6t) on the interval t >= 0.
I'm looking for a tutor who can help with problems similar to this one. More specifically, differential equations problems in the category of variation of parameters, undetermined coefficients, and... more
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Differential Equations

11/03/23

Solve the DE using homogeneous equation
(x + 2y) dx - 3y dy = 0a. x^4 - 6 x^2y^2 + 8 xy^3 - 3 y^4 = Cb. 3 x^4 - 8 x^2y^2 + 6 xy^3 = Cc. x^4 + 3x^2y^2 - 4 xy^3 + 3 y^4 = Cd. x^4 + 3x^2y^2 - 6xy^3 = C
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Differential Equations

11/03/23

Solve using variable separable
(y + 1) dx - (xy + x - 3y - 3) dy = 0, when x = 5, y = ln 4a. y = (x - 3)^2b. y = ln (2x - 6)c. y = ln (x - 3)^2d. y = (2 - cos t)^-3
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Differential Equations

11/03/23

Solve DE using variable separable
(1 + cos 2y) dt - 2t² dy =0, y(1) = π/4a. y = Arctan (2 - 1/t)b. y = Arctan (t - 1)c. y = Arctan (1/t - 2)d. y = Arctan (2 - t)
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Differential Equations

11/03/23

Solve DE using variable separable

e^(y-2x) (1 + x²) dx + cos y dy = 0 when x = 0 and y = 0a. 2e^2x (cos y - sin y) + e^y (2x^2 + 2x + 3) = 5e^(2x+y)b. 2e^y (cos y - sin y) + e^2x (2x^2 + 2x + 3) = 5e^(y-2x)c. e^2x (sin y - cos y) +... more
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Differential Equations

11/02/23

Donation of arbitrary constant
s=c1e^-3t + c2e^4t cos 5t + c3 e^4t sin 5t + 100/123a. sttt + 5 stt + 17 st - 123 s = 100b. sttt + 17 stt + 5 st - 100 s = 123c. sttt - 15 stt + 17 st + 123 s = 100d. sttt + 5 stt + 17 st - 100 s =... more
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Differential Equations

11/02/23

Elimination of arbitrary constant
using elimination of arbitrary constant, determine differential equations satisfied by the following functions: v=c1e^-w + c2 we^-w + c3 e^5wa. D³v - 9D²v - 3Dv - 5v = 0b. D³v - 3D²v - 9Dv + 5v =... more
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Differential Equations

11/02/23

Elimination of arbitrary constant
using elimination of arbitrary constant, determine differential equations satisfied by the following functions: x = c1 e^3t + c2 e^-t -2t e^-ta. x" - 2x' - 3x = 8e^-tb. x" + 2x' + 3x = 8e^tc. x" -... more
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Differential Equations

11/02/23

Arbitrary Constant
using elimination of arbitrary constant, determine differential equations satisfied by the following functions: y=c1e^t sin 3t + c2 e^t cos 3ta. y" + 2y' - 10y = 0b. y" - 10y' + 2y = 0c. 2y" - y' +... more
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Differential Equations

11/02/23

Arbitrary Constant
using elimination of arbitrary constant, determine differential equations satisfied by the following functions: x=c1e^6t + c2te^6ta. x" - 36x' + 12x = 0b. x" + 12x' - 36x = 0c. x" - 12x' + 36x =... more
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Differential Equations Math Calculus

11/01/23

Let f (t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the ROC (in grams/min) of the weight of the solid at any time 't'
Let f (t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at... more
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Differential Equations Math Calculus

11/01/23

Let y = 3 * sqrt(x). Find the change in y, or delta (y) when x = 4 and delta (x) = 0.2. Find the differential 'dy' when x = 4 and dx = 0.2
Let y = 3 * sqrt( x )a) Find the change in y (delta y) when x = 4 and the change in x (delta x) = 0.2b) Find the differential 'dy' when x = 4 and 'dx' = 0.2
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Differential Equations Math Chemistry Computer Programming

10/31/23

Transport and fluid

I built a mathematical model for transport modeling with two phases water and solid. I made a conceptual model to make the problem more simple. I know that once the transport modeling initiates the... more
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