1,279 Answered Questions for the topic differential equations

Differential Equations

07/05/22

Determine if the given function y=f(x) is a solution of the accompanying differential equation.
y′ + y = e2xy = 9e-x + e2x
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Differential Equations

06/28/22

Newton's Law of Cooling
Outside temperature is −5₀C. The temperature of an iron plate is 25₀C and it is kept outside. How long will it take the temperature to fall below 0₀C. Round your answer to two decimal places in... more
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Differential Equations

06/08/22

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

06/08/22

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

06/07/22

solve for differential equation all possible solutions.
dy/dt+t=2y
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Differential Equations Math Maths Mathematics

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 Calculus Derivative

05/28/22

Find the first derivative of (2x + 3)^4 = 3y^4
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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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Differential Equations

05/06/22

Differentiate the equation (2x+5)
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Differential Equations Math Calculus Mathematica

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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Differential Equations Algebra 2 Algebra Derivative

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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Differential Equations Calculus Precalculus Derivative

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... more
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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
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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... more
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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... more
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Differential Equations Calculus Differential Calculus

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.
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Differential Equations

03/30/22

Solve y’’’ + y'= sec x.
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