1,279 Answered Questions for the topic differential equations

Differential Equations

09/12/21

exact vs non-exact D.E.
Classify the following equation as exact or not exact. (9x^2 -18xy - 2x - 5y^2 +1) dy/dx + (-24x^2 + 18xy - 7y^2 + 4y + 4) = 0From what i understand you take the partial m with respect to y for the... more
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Differential Equations

09/12/21

Use Laplace transforms to solve the initial value problem d^2y/dt^2 + dy/dt − 6y = 12e^−t , y(0) = 1, y'(0) = −2.
Use Laplace transforms to solve the initial value problemd^2y/dt^2 + dy/dt − 6y = 12e^−t , y(0) = 1, y'(0) = −2.
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Differential Equations

09/11/21

Coefficient of differential

Find a particular solution to each of the following equations trying a solution of the given form and solve for coefficients. dy/dt + 2y = sin(t). y(t) = Asin(t) + Bcos(t)For solution i found y =... more
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Differential Equations Calculus

09/10/21

Consider the following differential equation: dxdt=k(4−x)(1−x)
dx/dt = k(4-x)(1-x)Is this ordinary DE or partial DE? State the order? What are the independent variable(s)? What are the dependent variable(s)? If the equation is ordinary, is it linear or... more
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Differential Equations Calculus Derivative

09/10/21

Draw the direction field for the following differential equation and draw several solution curves.
I have been able to complete A, B, D, and E. I am struggling to finish C. I thought it was -1 but it is not. Draw the direction field for the following differential equation and draw several... more
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Differential Equations

09/10/21

Differential equations finding coefficients
Find a particular solution to the following equations by trying a solution of the given form and solve for coefficients. dy/dt + y = 1+2t^2. y(t)=A + Bt + Ct^2I found the solution to be y= 5 +... more
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Differential Equations Calculus Linear Algebra Linear Equations

09/09/21

Linear Differential Equations
Find the particular antiderivative that satisfies the following conditions:dx/dt=4e(^t)−2; x(0)=7.I know dx/dt of 4e^(t)-2 is 4e^(t)-2t, but I do not know what to do with the x(0)=7.
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Differential Equations

09/08/21

Write an equation

It is -9 now, the temperature will drop 5 degrees in two hours. what will the temperature be in two hours.
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Differential Equations

09/07/21

Help with differential question
Solve the first order linear differential equationdy/dx + 4y= -9x^3 - 5x- 2. y(0)=0. y(x)=??
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Differential Equations

09/04/21

How do i solve it?
Write the equation of a line perpendicular to the line: y=-5/2x+4 that goes through the points (-6,0)
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Differential Equations

09/04/21

How do i solve it?
Write the equation of a line perpendicular to the line: y=-5/2x+4 that goes through the points (-6,0)
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Differential Equations

09/03/21

Differential Equation

Find solution of the indicated formt^2(d^2y/dt^2) + t(dy/dt) - 4y=0. y=t^rI took derivatives and plugged in and tried to get down to quadratic formula but got stuck.
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Differential Equations Math Calculus

09/02/21

differential equation, Math help
Find the general solution of the equation by the power series method.y''-2xy'-2y=x
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Differential Equations

08/30/21

Ordinary Differential Equation
dy/dt = (3-4y) / (5+4y) y(0) = 0find d^2y/dt^2 = 0I began by plugging in 0 to get dy/dt. Then used the quotient rule for the next derivative, but I keep getting the wrong answer.
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Differential Equations

08/29/21

Differential Equations Help
Suppose that y(t) solves the ordinary differential equationdy/dt = (t*y^-.5)/3 y(0)=1. Find y(1)I tried solving using separable equations but am having a hard time.
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Differential Equations Complex Numbers

08/27/21

How to convert complex numbers to polar form.
z=4e^(i1.7)Write the following numbers in polar form reiθ, 0≤θ<2π:a) z¯r=θ=b) 1/zr=θ=So, I have r for both of these (4 and .25). I need the angles. I thought b) would be -1.7, but that was... more
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Differential Equations

08/17/21

Find a family of curves orthogonal to the family of curves given by x^2 + 3y^2 = C.
Find a family of curves orthogonal to the family of curves given by x^2 + 3y^2 = C.
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Differential Equations Calculus

08/16/21

Solve by inspection...
( x3 + x y2 −y ) d x + ( y3 + x2 y + x ) d y = 0
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Differential Equations Math Calculus Mathhelp

08/13/21

MATH HELP, Power Series Solution for differential equation
Find the general solution of the equation y' = x3 - 2xy with power series
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Differential Equations Math Calculus

08/07/21

Differential equation, How I can resolve this?, please
Consider 1/2π< x <1/π for the differential equationdy/dx = y^2 / x - y/x + 1/x^31- Find the particular solution of the form yp(x) = xα cot(1/x)2-Find the general solution by doing y(x) = yp +... more
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Differential Equations Math Calculus Mathhelp

08/07/21

Differential equation
Find all solutions of the equationy' + 2y = b(x) , (−∞ < x < +∞)where 1 − |x|, if |x| ≤ 1 b(x) = 0, if |x| > 1
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Differential Equations Math Calculus Math Help

08/07/21

MATH HELP, differential equation
Find all solutions of the equation y' + 2y = b(x) , (−∞ < x < +∞)where 1 − |x|, se |x| ≤ 1 b(x) = 0, se |x| > 1
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Differential Equations Math Calculus Math Help

08/07/21

differential equation
Find the general equationy' = y(y2 − x2 − 1) ⁄ x(y2 − x2 + 1)
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Differential Equations Math Math Help

08/06/21

differential equation
help me with what method I should use to find the general solution, please(3x-y+1)y' = -x+3y+5
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Differential Equations Calculus

08/04/21

Need some quick help on a homework problem
Hey,Need some quick help with a homework problem. I found the derivative for part a but I'm not sure how to do part b. The cost for a company to produce x pairs of jeans is given by... more
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