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Differential Equations

02/17/18

Differential Equation Question

Find the solution for the following exact differential equations. 2xy^2 + 4 = 2(3 - x^2y)y' ; y(-1) = 8

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Differential Equations Calculus

02/15/18

How to find a first order differential equation for the family of curves?

y=x^(1/2)+cx I can't seem to get the right answer :(

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Differential Equations

02/07/18

Is there some rule that x + e^c = cx ? (c is the constant of integration)

Just wondering how x^-3 + e^c = c/x^2?

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Differential Equations

02/06/18

Is in the integral of 1/x ln(x)+c or ln(x)+ln(c)?

I have seen it written the first way in some problems and the second in others. All have had correct answers. Can someone please explain why this is? Thank!

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Differential Equations Calculus

02/05/18

How to solve the differential equation with substitution?

y'=(x^2-y^2)xy, with y(1)=2

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Differential Equations

12/08/17

How do I solve the differential equation x-4y(x)y'(x)(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.

When I solve it with separation I get to a point where y^2=5/2(x^2+1)^(1/2)+C but then I get two solutions and then my equation gets messy when trying to solve for the constant C with the initial... more

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Differential Equations Numerical Analysis Taylor Series

11/07/17

Numerical solver for y’=3xy^3

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare. Trying to find y(1) given y(x) is a solution to the equation and knowing... more

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Differential Equations

11/04/17

Need help solving the differential equation y’-y=x

Can you help me understand the steps in solving this equation? Will you always use e^() in these types of equations?

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Differential Equations U Substitution

11/03/17

Find u substitute in y’-(y/x)=y^2

I am having trouble identifying where to start to find the U subsitute.

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Differential Equations Reduction Of Order Nonhomogeneous Equation

11/01/17

Differential Equations: Nonhomogeneous Equation Problem

The nonhomogeneous equation t^2y′′−2y=29t^2−1, t>0, has homogeneous solutions y1(t)=t^2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms... more

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Differential Equations Math Help Initial Values

10/26/17

Differential Equations - Fundamental Set of Solutions

Find the fundamental set of solutions for the given differential equation L[y]=y′′−9y′+20y=0 and initial point t0=0 that also specifies y1(t0)=1, y′1(t0)=0, y2(t0)=0 and y′2(t0)=1.

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Differential Equations Math Differential Equations. Math. Differential Equations

10/12/17

Separable Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation:(1/4)sin(4y)=(1/2)cos(2x)+C then I plug in the initial... more

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Differential Equations Differential Equations. Math. Differential Equations

10/11/17

Ordinary Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation: y=[arcsin(2cos(2x)+C)]/4 but when I plug in the... more

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Differential Equations Separable Equations

10/11/17

Ordinary Differential Equations

A rocket sled having an initial speed of 191 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=−μυ^2, where v is the velocity and μ... more

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Differential Equations Math

09/04/17

Differential Equations

Find the solution of the differential equation dy/dx*(ln(y))^2 = yx^2 which satisfies the initial condition y(1)=e^2 y = ?

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Differential Equations Math

09/03/17

Differential Equations

Find the particular solution of the differential equation: x^2/(y^2-4)*dy/dx = 1/(2y) satisfying the initial condition y(1)=sqrt(5) y = ? the answer must be the function of x

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Differential Equations

09/03/17

Solve the eigen value problem for real b.y'' = by; y(0) = y(pi); y'(0) = y'(pi):

This is an assignment question.

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Differential Equations Math

09/02/17

Differential Equations

Solve the following initial value problem: (t^2-16t+60)dy/dt = y 1) with y(8)=1y(8)=1. (Find yy as a function of t). 2) On what interval is the solution valid? 3) Find the limit of the... more

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Differential Equations Math

09/02/17

Differential Equations

Find the particular solution of the differential equation dy/dx = (x-4)e^(-2y) satisfying the initial condition y(4)=ln(4) y = ?

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Differential Equations Math

09/02/17

Differential Equations

Solve the separable differential equation 7x - 6y*sqrt(x^2+1)dy/dx = 0 Subject to the initial condition: y(0)=5 y = ?

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Differential Equations Math

09/02/17

Differential Equations Question

Solve the separable differential equation for u: du/dt = e^(4u+9t) Use the following initial condition: u(0)=4 u = ?

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Differential Equations Math Calculus Differentiation

08/21/17

Differential Equations

Differential equations are often referred to as mathematical models. Explain what the phrase“mathematical model” can mean, experiences withmathematical models, and how the mathematical use of the... more

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Differential Equations Math Differential Advanced Math

08/20/17

Differential Equations

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created toprovide predictions about the future population of rabbits over time. a) For what values of y is y(t)... more

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Differential Equations Math Calculus Differential

08/20/17

Differential Equations

The letter y appears in two places in the differential equation dy/dt = 0.3y. Is it appropriate tothink of both occurrences of y as function of t? Explain.

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Differential Equations

08/08/17

Hello, I am having trouble finding a valid function for g(x) to make the following statement true. f'g'=(fg)', let f(x)=e^(x^2)

Hello, I am having trouble finding a valid function for the about question. I have been using the product rule and dividing by e but cannot seem to get a correct function to fit the rule.

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Answers •2

Differential Equation Question

How to find a first order differential equation for the family of curves?

Is there some rule that x + e^c = cx ? (c is the constant of integration)

Is in the integral of 1/x ln(x)+c or ln(x)+ln(c)?

How to solve the differential equation with substitution?

How do I solve the differential equation x-4y(x)*y'(x)*(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.

Numerical solver for y’=3xy^3

Need help solving the differential equation y’-y=x

Find u substitute in y’-(y/x)=y^2

Differential Equations: Nonhomogeneous Equation Problem

Differential Equations - Fundamental Set of Solutions

Separable Differential Equations Problem

Ordinary Differential Equations Problem

Ordinary Differential Equations

Differential Equations

Differential Equations

Solve the eigen value problem for real b.y'' = by; y(0) = y(pi); y'(0) = y'(pi):

Differential Equations

Differential Equations

Differential Equations

Differential Equations Question

Differential Equations

Differential Equations

Differential Equations

Hello, I am having trouble finding a valid function for g(x) to make the following statement true. f'g'=(fg)', let f(x)=e^(x^2)

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How do I solve the differential equation x-4y(x)y'(x)(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.