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  • https://math.libretexts.org/Courses/Cosumnes_River_College/Math_420%3A_Differential_Equations_(Breitenbach)/02%3A_First_Order_Equations/2.04%3A_Solving_Differential_Equations_by_Substitutions
    Substituting tx for x and ty for y in M(x,y) we get M(tx,ty)=(tx)2+(tx)(ty)=t2(x2+xy)=t2M(x,y) and M(x,y) is a homogeneous function of degree 2. Substituting ...Substituting tx for x and ty for y in M(x,y) we get M(tx,ty)=(tx)2+(tx)(ty)=t2(x2+xy)=t2M(x,y) and M(x,y) is a homogeneous function of degree 2. Substituting tx for x and ty for y in N(x,y) we get N(tx,ty)=(ty)2=t2y2=t2N(x,y) and N(x,y) is a homogeneous function of degree 2.
  • https://math.libretexts.org/Bookshelves/Differential_Equations/A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers_(Herman)/01%3A_First_Order_ODEs/1.04%3A_Other_First_Order_Equations
    There are several nonlinear first order equations whose solution can be obtained using special techniques. We conclude this chapter by looking at a few of these equations named after famous mathematic...There are several nonlinear first order equations whose solution can be obtained using special techniques. We conclude this chapter by looking at a few of these equations named after famous mathematicians of the 17−18th century inspired by various applications
  • https://math.libretexts.org/Bookshelves/Differential_Equations/Elementary_Differential_Equations_with_Boundary_Value_Problems_(Trench)/02%3A_First_Order_Equations/2.04%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/Chabot_College/Math_4%3A_Differential_Equations_(Dinh)/02%3A_First_Order_Equations/2.05%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.12%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/Monroe_Community_College/MTH_225_Differential_Equations/02%3A_First_Order_Equations/2.05%3A_Substitution_Methods_-_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/Mission_College/Math_4B%3A_Differential_Equations_(Reed)/02%3A_First_Order_Equations/2.04%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_2562_Differential_Equations_with_Linear_Algebra/02%3A_First_Order_Equations/2.04%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/08%3A_First_Order_Equations/8.04%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.
  • https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.08%3A_Substitution
    This page covers methods for simplifying non-separable differential equations through substitution, particularly Bernoulli equations, highlighting the significance of making effective substitutions to...This page covers methods for simplifying non-separable differential equations through substitution, particularly Bernoulli equations, highlighting the significance of making effective substitutions to achieve linear forms for easier solutions. It provides examples demonstrating the use of the substitution v=yx for homogeneous equations, illustrating the process of transforming complex equations into simpler, separable ones.
  • https://math.libretexts.org/Courses/Mission_College/Math_4B%3A_Differential_Equations_(Kravets)/02%3A_First_Order_Equations/2.04%3A_Transformation_of_Nonlinear_Equations_into_Separable_Equations
    This section deals with nonlinear equations that are not separable, but can be transformed into separable equations by a procedure similar to variation of parameters.

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