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Mathematics, 20.06.2020 05:57 averystricker7837

2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t, y) into a separable equation. One common change of variable technique is as follows. Consider a differential equation of the form y′=f(αt+βy+γ), where α,β, and γ are constants. Use the change of variable z=αt+βy+γ to rewrite the differential equation as a separable equation of the form z′=g(z). Solve the initial value problem y′=(t+y)2−1, y(3)=4.

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t, y) i...
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