Recent content by dm59
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Using Laplace Transforms to solve IVP's
Homework Statement solve the ivp using laplace tranforms y''+2y'+2y=0 y(0)=1 y'(0)=-3 Homework Equations The Attempt at a Solution get to Y(s)[s^2+2s+2]=s-1 Y=(s-1)/[s^2+2s+2] ^^^ don't know how to simplify the denominator to solve using Laplace transforms. If I had...- dm59
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- Laplace Laplace transforms
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Finding a Particular Solution for a Non-Homogeneous Differential Equation
10. Consider the equation *) y'' + y = exp(-x^2)sec(x). Solutions of the corresponding homogeneous equation are of course cos(x) and sin(x). We want a particular solution yp of *). a) Try to use undetermined coefficients to find yp. b) Try to do it using variation of parameters. c) Both...- dm59
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- Differential Differential equations
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Solving IVP using Variable Change u = ln(y)
Use the variable change u = ln(y) to solve the IVP dy/dt = -y ln(y), y(1) = 2? We haven't covered this in class yet so I do not know where to even start.- dm59
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- Differential Differential equations Ivp
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Differential equations- Pop Growth
Got it! Thank both of you so much for your help.- dm59
- Post #4
- Forum: Calculus and Beyond Homework Help
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Differential equations- Pop Growth
dy/dt=(.5+sint)y/5 what is time t when the population has doubled?- dm59
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- Differential Differential equations Growth
- Replies: 3
- Forum: Calculus and Beyond Homework Help