993 Answered Questions for the topic differential equations
Differential Equations Math
11d
Linearly Independent
If y1y1 and y2y2 are linearly independent solutions of ty″+4y′+te3ty=0ty″+4y′+te3ty=0 and if W(y1,y2)(1)=3,W(y1,y2)(1)=3, find W(y1,y2)(3).W(y1,y2)(3).Round your answer to two decimal...
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Differential Equations
26d
Mathematics calculus 1
Determine whether f '(0) exists.
f(x) =
x2 sin 8/x
if x ≠ 0
0
if x = 0
a)f '(0) does exist b).f '(0) does not exist which is true?
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Differential Equations
26d
Mathematics Calculus
Find the slope m of the tangent to the curve y = 7/
x
at the point where x = a > 0.
Find equations of the tangent lines at the points (1, 7) and
4, 7)
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Differential Equations
27d
solve for differential equation all possible solutions.
dy/dt+t=2y
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06/02/22
Differential Equations
How do we solve the equation,y'(x) = y/(x*(ln(x)))
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Differential Equations
06/01/22
What is the equation of a line containing point (2, 5) and has the same slope as the line 4x – 2y = 12?
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Differential Equations
06/01/22
What is the equation of a line containing point (2, 5) and has the same slope as the line 4x – 2y = 12?
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Differential Equations
06/01/22
What is the equation of a line containing point (2, 5) and has the same slope as the line 4x – 2y = 12?
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Differential Equations
05/28/22
Solve for solution xcosydy + sin ydx= xsin^3ydx
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Differential Equations
05/08/22
Solve a system of first order linear ODE's
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Differential Equations Linear Algebra
05/08/22
Find eigenvalues and corresponding eigenvectors
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05/05/22
Determine whether each of the following differential equation are separable or not, if separable, rewrite the equation in the form g(y)dy= f(x)dx.
Determine whether each of the following differential equation are separable or not, if separable, rewrite the equation in the form g(y)dy= f(x)dx.1. dy/dx= y+32. dy/dx= x²y-xy+3y
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04/27/22
Find dy/dx when;
Find dy/dx when;a) y=45-7x-3-18xz-12z1/4+15x1/5b) 𝑦 = −8x2z-5
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Differential Equations Calculus
04/27/22
Find the first four nonzero terms in a power series expansion about x_0 for a general solution to the given differential equation with the given value for x_0.
y' - 5xy = 0; x0 = -2 (Expression must be in terms of a0 that includes all terms up to order 3.)y(x) = This one's a doozy, if possible please include a step-by-step solution. Thank you!
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Differential Equations Calculus
04/23/22
Use Laplace Transforms to solve the given initial-value problems:
Use Laplace Transforms to solve the given initial-value problems:y'' + 5y' + 6y = 0y(a) = 0, y'(a) = 1, (a > 0)
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04/19/22
Find an expression, in terms of r and T, for the rate of change of the volume (V cm^3) of a glass sphere.
In the production process of a glass sphere, hot glass is blown such that the radius, r cm, increases over time (t seconds) in direct proportion to the temperature (T °C) of the glass.Find an...
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Differential Equations Calculus
04/17/22
Using differential calculus, determine the sales giving the highest possible profit.
Sales in units: 21, 20, 16, 12, 10Price in USD: 300, 325, 350, 375, 400
Differential Equations Calculus
04/17/22
Account for the graph of f having two tangents with a slope of -72, and determine the equation of one of them.
A function f is given by the expression f(x)= -2x3+3x2+180x for -10≤ x ≤ 11
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Differential Equations
04/10/22
Find the general solution of the differential equation y" + y = 14 sin(2t) + 8t cos(2t).
Find the general solution of the differential equationy" + y = 14 sin(2t) + 8t cos(2t).NOTE: Express the general solution in the form c1y1(t) + c2y2(t) + yp(t), where c1, c2 are arbitrary constants...
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Differential Equations
04/10/22
Find the general solution of the differential equation y’' - 4y' - 45y = 196e^2t. More information in the description section
Find the general solution of the differential equationy’' - 4y' - 45y = 196e2t.NOTE: Express the general solution in the form c1y1(t) + c2y2(t) + yp(t), where c1, c2 are arbitrary constants and...
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04/03/22
Determine the three zeros correct to two decimal places.
A function f is given by the expression f(x)= -2x3+3x2+180x for -10 ≤ x ≤ 11Determine the three zeroes correct to two decimal places.
At a festival, spherical balloons with a radius of 160. cm are to be inflated with hot air and released. The air at the festival will have a temperature of 25°C
It must be heated to 100°C to make the balloons float. 1.00kg of propane C3H8 fuel is available to be burned to heat the air. Calculate the maximum number of balloons that can be inflated with hot...
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