• Math Archive: Questions from 2023-02-8

    Solve the given initial-value problem. The DE is homogeneous. (x^2 + 2y^2 ) dx/dy = xy, y(-1) = 3

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    xdy/dx + y = 1/y^2 Solve the given differential equation by using the appropriate substitution. The DE is a Bernoulli equation.

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    dy/dx = y(xy^2 - 1) Solve the given differential equation by using the appropriate substitution. The DE is a Bernoulli equation.

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    x dy/dx - (1 + x)y = xy^2 Solve the given differential equation by using the appropriate substitution. The DE is a Bernoulli equation.

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    t^2 dy/dt + y^2 = ty Solve the given differential equation by using the appropriate substitution. The DE is a Bernoulli equation.

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    Solve the given initial-value problem. The DE is a Bernoulli equation. x^2dy/dx - 2xy = 6y^4, y(1) = 1/2

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    Solve the given initial-value problem. The DE is a Bernoulli equation. y^1/2dy/dx + y^3/2 = 1 , y(0) = 16

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    The DE is of the form dy/dx = f(Ax + Bx + C) dy/dx = (x + y + 4)^2 Solve the given differential equation by using the appropriate substitution. which is given in (5) of section 2.5.

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    The DE is of the form dy/dx = f(Ax + Bx + C) dy/dx = tan^2(x+y) Solve the given differential equation by using the appropriate substitution. which is given in (5) of Section 2.5.

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    The DE is of the form dy/dx = f(Ax + Bx + C) dy/dx = sin(x + y) Solve the given differential equation by using the appropriate substitution.

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