Verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x. y^'=3 x^2 ; y=x^3 7 | Numerade

SOLVED: Verify that the indicated function 𝑦 = 𝜑(𝑥) is an explicit solution of the given first-order differential equation. Then, by considering 𝜑(𝑥) as a solution of the differential equation, give at least one interval I of definition. (𝑦 − 𝑥) 𝑑𝑦/𝑑𝑥 = 𝑦 − 𝑥 18; 𝑦 = 𝑥 6(√𝑥 3)2. Correctedtext: Find all values of 𝑚 so that the function 𝑦 = 𝑒^𝑚𝑥 is a solution of the given differential equation. 2𝑦 ′′ 9𝑦 ′

Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution. (d^2 y)/(d x^2)-4 (d y)/(d x) 4 y=0 ; y=c1 e^2 x c2 x e^2 x | Numerade

Differential Equations (Definition, Types, Order, Degree, Examples)

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Differential Equations: Examples, Solutions