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General solution of $y''-2xy'+2y=0$

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#ordinary-differential-equations
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Proving an IVT has a local unique solution

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#ordinary-differential-equations #initial-value-problems
76
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Solve the equation involving integral

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#real-analysis #integration #ordinary-differential-equations #derivatives #definite-integrals
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Applying CK to an ODE first order

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#ordinary-differential-equations
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Show that $u_1(x)=x^a,u_2(x)=x^b$ are not solutions of the differential equation in any interval that contains the origin.

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#ordinary-differential-equations
99
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Nabla operation to cos and sin replacement

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#ordinary-differential-equations #derivatives #partial-derivative #laplace-transform #laplacian
46
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Problem with defective eigenvalues in a second order system

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#linear-algebra #ordinary-differential-equations
65
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A mechanic's problem using dynamical systems

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#ordinary-differential-equations #dynamical-systems #classical-mechanics
367
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Solve differential equation $f''''(x)=f'''(x)f''(x)f'(x)f(x)$

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#calculus #integration #ordinary-differential-equations
51
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Existence and uniqueness of differential equation solution

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#ordinary-differential-equations
160
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First Order Differential equation - separable form

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#ordinary-differential-equations
81
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Finding an explicit homeomorphism between 2x2 matrices

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#ordinary-differential-equations
195
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Existence and uniqueness of solutions if Lipschitz constant depends on time

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#ordinary-differential-equations #derivatives #lipschitz-functions
45
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Laplace transform and general method of solving DE.

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#ordinary-differential-equations #self-learning #laplace-transform
68
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what type of differential equation is it?

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#ordinary-differential-equations

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