Second order differential equations

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Problem: Find the general solution of the equation: \[ y^{\prime \prime}-y=\operatorname{ch} x \text {. } \]

8.1.2.23 Second order differential equations

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Problem: Find the general solution of Euler's equation: \[ x^{2} y^{\prime \prime}+x y^{\prime}+y=0 \text {. } \]

8.1.2.24 Second order differential equations

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Problem: Find the general solution of Euler's equation: \( x^{2} y^{\prime \prime}+x y^{\prime}+4 y=10 x \).

8.1.2.25 Second order differential equations

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Problem: Find the general solution of Euler's equation: \[ (2 x+1)^{2} y^{\prime \prime}-2(2 x+1) y^{\prime}+4 y=0 \text {. } \] clip2net.com

8.1.2.27 Second order differential equations

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Problem: Find the particular solution of the second order differential equation, satisfying given initial conditions: \[ y^{\prime \prime}=\sqrt{1-\left(y^{\prime}\right)^{2}}, \quad y(0)=-1, \quad y^{\prime}(0)=0 . \] clip2net.com

8.1.2.28 Second order differential equations

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