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... more
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?
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)
Differential Equations

27d

solve for differential equation all possible solutions.

dy/dt+t=2y
Differential Equations Math Maths Mathematics

06/02/22

Differential Equations

How do we solve the equation,y'(x) = y/(x*(ln(x)))
Differential Equations Calculus Derivative

05/28/22

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

Differential Equations

05/28/22

Solve for solution xcosydy + sin ydx= xsin^3ydx

Differential Equations

05/08/22

Solve a system of first order linear ODE's

Differential Equations Linear Algebra

05/08/22

Find eigenvalues and corresponding eigenvectors

Differential Equations

05/06/22

Differentiate the equation (2x+5)

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
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
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!
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)
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
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
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
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
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.
Differential Equations

03/30/22

Solve y’’’ + y'= sec x.

Differential Equations Algebra 2 Calculus Chemistry

03/28/22

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... more

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