Homogeneous Differential Equations
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YouTubeThe Organic Chemistry Tutor
Homogeneous Differential Equations
This calculus video tutorial provides a basic introduction into solving first order homogeneous differential equations by putting it in the form M(x,y)dx + N(x,y)dy = 0. You can solve it by substitution using the equation y = vx and dy = xdv + vdx. Following the change of variables, you can integrate the differential equation by separation of ...
1.6M viewsMar 24, 2018
Solve Second Order DE
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SOLVED: 𝑥 = 𝑐₁𝑐𝑜𝑠𝑡 𝑐₂𝑠𝑖𝑛𝑡 is a two-parameter family of solutionsof the second-order DE 𝑥 ′′ 𝑥 = 0. Find the solution to the second-order IVP consisting of this DE and the given initialconditions 𝑥(0) = 2 and 𝑥 ′ (0) = 1.
SOLVED: 𝑥 = 𝑐₁𝑐𝑜𝑠𝑡 𝑐₂𝑠𝑖𝑛𝑡 is a two-parameter family of solutionsof the second-order DE 𝑥 ′′ 𝑥 = 0. Find the solution to the second-order IVP consisting of this DE and the given initialconditions 𝑥(0) = 2 and 𝑥 ′ (0) = 1.
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