Question: it is ODE please solve it with explanation dx 4. Consider the the equation + f(x) = 2, (1) dt where sf(s > 92 6,

it is ODE please solve it with explanation dx 4. Consider

it is ODE

please solve it with explanation

dx 4. Consider the the equation + f(x) = 2, (1) dt where sf(s > 92 6, Vs ER, f'(s > -3, Vs E R and 0 0. a.) For any number o > 0, find a time t1 = t(0) such that, if Xo E {YER, ||y|| ti. b.) Find a value B > 0 such that, if Xo {Y ER, ||4|| Se} then x'(t) C{YER, ||3|| 5B}, Vt > 1+ti. Uniform Gronwall's inequality: If ti, for some positive function y, f, g and positive numbers a, b, c, then y(t+1) = (a +c)eb, Vt > ti. dx 4. Consider the the equation + f(x) = 2, (1) dt where sf(s > 92 6, Vs ER, f'(s > -3, Vs E R and 0 0. a.) For any number o > 0, find a time t1 = t(0) such that, if Xo E {YER, ||y|| ti. b.) Find a value B > 0 such that, if Xo {Y ER, ||4|| Se} then x'(t) C{YER, ||3|| 5B}, Vt > 1+ti. Uniform Gronwall's inequality: If ti, for some positive function y, f, g and positive numbers a, b, c, then y(t+1) = (a +c)eb, Vt > ti

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