(1) For each of the following first-order differential equations, state whether it is sep- arable, linear, homogeneous, or none of the above. You do not need to explain your answers. Each equation may correspond to more than one listed type (in which case you must list all types) or none of those. dy (a) = (x - 1)(y-1) dx (b) y' = 1 (c) dy dx = y X y√1-x²

Q: (a) (x* +y*)dx + 2x³ydy = 0

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Q: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

Q: (3y' + y)Jy = x (1) For each of one of them, identify if it is linear or non-linear. For all the…

A:

Q: a.) 4xy" + 3x³y'-7x = sin(2x)e²x b.) 5xy+3 dy dx = 2e¹¹

A:

Q: y +v3) æ + cz = c¡ e(-2 C2 e(-2-v3).

A: In order to obtain the differential equation consider the coefficient of x in power of e as roots of…

Q: Find the general solution of the differential equation. y(4) + 4y" + 4y = 0. NOTE: Use C1, Cg, C3,…

A: 1) If auxiliary equation has distinct real roots, let the roots be m1=a, m2=b, m3=c...... Where…

Q: Find the general solution of the differential equation d²y dy dx² - 5 dx +6y=e* + e²x.

A: