Find the particular solution to the differential equation given the initial condition y=2 when x=0: dy = ex + secx dx a) = Y eª + sec²x+1 Ob) y = e + In secx + ta nx + 2 c) y = e X + In secx + tan x + 1 d) y = e + secx tan x + 1

Q: Show that y = -cosx In(secx + tanx) is a solution of y" +y = tanx

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Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: xy2 y' = ey + sin y dy = dx x+y y' = x2

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Q: Verify that the function u=e(-α^2)t sin x is a solution of the heat conduction equation ut = α2uxx

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Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: Find general solution of ODE   (x+y-1)dx-(x+y)dy=0 dy/dx = (x+2y-3)/(2x+y-3)

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Q: Write the system x'= e"x – 4ty+9 sin(t), y' = 7 tan(t)y + 9x – 4 cos(t) in the form = P(t) + F(t).…

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Q: Find the general solution to the linear ODE. Use each method (integrating factors and educated…

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Q: - Find or y' by implicit differentiation dx - 4x 36

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Q: a²u Q15// Solve the partial differential equation дудх tan-1x sin³y ди given that = y when x = 0 and…

A: Given: The partial differential equation is ∂2u∂y∂x=tan-1x sin3y , given that ∂u∂y=y when x=0,u=1…

Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: Show that y sin x is a solution to xy" + (2 secx)y' + xy = 2. =

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Q: Solve for Linear DE of Order n: y′′−3y′+2y=cos(e^−x)

A: Using General Method of Linear D.E.

Q: dy Find for y= csc (x)+ dx cos (x'+1). Do not simplify your answer. dy dx Given the equation x' + y'…

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Q: find the general solution to the following differential equation: a) dy/dt = t^(2)/y b) dy/dt =…

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