Replace all occurrences of u u with 2y 2 y. 1 2sin(2y)+ C 1 2 sin (2 y) + C. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework …

Substitution in the DE y' \tan(y)+4x^3\cos(y)=2x https://math.stackexchange.com/questions/2453956/substitution-in-the-de-y-tany4x3-cosy-2x …

The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including …

Use the common integral: ∫ cos(u)du =sin(u) = 21 sin(u) Substitute back u= 2y = 21 sin(2y) Add a constant to the solution = 21 sin(2y)+C. What is the integral of cos (2y) ?

Use the half - angle formula to rewrite cos2(y) as 1 + cos(2y) 2. ∫1 + cos(2y) 2 dy. Since 1 2 is constant with respect to y, move 1 2 out of the integral. 1 2∫1 + cos(2y)dy. Split the single …

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

In each of Problems 1 through 8, solve the given differential equation. This ODE is separable because it is of the form y0 = f(x)g(y), so it can be solved by separating variables. dy = (cos2 …

2024年4月20日 · The value of \(\int\limits_{-\pi}^{\pi} \frac{2 y(1+\sin y)}{1+\cos ^{2} y} d y\) is : (1) \(\pi^{2}\) (2) \(\frac{\pi^{2}}{2}\) (3) \(\frac{\pi}{2}\) (4) \(2 \pi^{2}\)

$\begingroup$ By $\cos(x)^2$ do you mean $\cos (x^2)$ or $\cos ^2 (x)$ ? $\endgroup$ –

2022年12月8日 · Given: sin Y = x Formula used: cos 2Y = 1 - 2sin2 Y Calculations: According to the question, ⇒ cos 2Y = 1 - 2sin2 Y ⇒ cos 2