Find the particular solution of the differential equation given that y = 0 when x = 1.

Find the particular solution of the differential equation given that y = 1, when x = 0.
Find the particular solution of the differential equation given that y = 1 when x = 0.
Find the particular solution of the differential equation given that y = 0 when x = 1.
Find the particular solution of the differential equation satisfying the given condition given that y = 1, when x = 0.
Find the particular solution of the differential equation given that x = 0 when y = 1.
Find the particular solution of the differential equation given that y = 0, when x = 0.
Find the particular solution of the differential equation (x – sin y) dy + (tan y) dx = 0, given that y = 0 when x = 0.
Find the equation of tangent and normal to the curve x = 1 – cos θ, y = θ – sin θ at θ =
Find the particular solution of the differential equation given that y = 0 when x = 1.
Show that the function f : R {x ∈ R – 1 < x < 1} defined by f(x) = x ∈ R is one-one and onto function. Hence find f⁻¹(x).
Find the particular solution of the differential equation given that y = 1 when x = 0.
Consider given by f(x) = 5x² + 6x – 9.Prove that f is invertible with f⁻¹(y) = [where, R⁺ is the set of all nonnegative real numbers.]
Solve the differential equation x cos x + sin x, given that y = 1 when
Show that the relation R in the Set A = {1, 2, 3, 4,5} given by R = {(a, b) : |a – b| is divisible by 2} is an equivalence relation. Write all the equivalence classes of R.