Second order differential equations/Second order…

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Problem: Find the general solution of the second order inhomogeneous differential equation. \[ 3 y^{\prime \prime}-4 y^{\prime}+2 y=3 e^{2 x} \text {. } \]

8.1.2.3 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation: \[ 3 y^{\prime \prime}+7 y^{\prime}=-x^{2}+5 \text {. } \]

8.1.2.4 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation: \[ 2 y^{\prime \prime}-9 y^{\prime}+4 y=\cos 2 x-2 \sin 2 x \text {. } \]

8.1.2.5 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation \[ y^{\prime \prime}-2 y^{\prime}-3 y=-5 e^{-6 x}-4 e^{3 x} \text {. } \]

8.1.2.6 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation with variable coefficients: \[ \frac{1}{49}(7 x-8)^{2} y^{\prime \prime}-\frac{1}{7}(7 x-8) y^{\prime}-3 y=-5|7 x-8|^{-6} \text {. } \] clip2net.com

8.1.2.7 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation: \[ y^{\prime \prime}+y=-\frac{5}{\sin x} \text {. } \]

8.1.2.8 Second order differential equations

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Problem: Find the general solution of the second order inhomogeneous differential equation: \[ y^{\prime \prime}+2 i y^{\prime}-y=-20 e^{-i \cdot x} \text {. } \]

8.1.2.10 Second order differential equations

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Problem: Find the particular solution of the differential equation: \[ \tan x \cdot\left(x y^{\prime \prime}+y^{\prime}\right)=x y^{\prime}-1, x=\sqrt{e}, y=\frac{1}{2}, \quad y^{\prime}=\frac{1}{\sqrt{e}} \text {. } \] clip2net.com

8.1.2.12 Second order differential equations

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Problem: Find the general solution of the homogeneous differential equation with constant coefficients: \[ y^{\prime \prime}-5 y^{\prime}+6 y=3 x^{2}-5 x-5 \text {. } \] clip2net.com

8.1.2.18 Second order differential equations

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Problem: Find the general solution of the linear inhomogeneous differential equation with constant coefficients. \[ y^{\prime \prime}+2 y^{\prime}-3 y=5 e^{2 x} \text {. } \] clip2net.com

8.1.2.19 Second order differential equations

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Problem: Find the general solution of the linear homogeneous differential equation: \[ y^{\prime \prime}+4 y^{\prime}=0 \text {. } \] clip2net.com

8.1.2.29 Second order differential equations

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Problem: Find the particular solution of the differential equation: \[ \frac{d^{2} u}{d x^{2}}-5 u=0, \quad u(0)=1, \quad u(1)=7 . \] clip22net.com

8.1.2.26 Second order differential equations

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Problem: Solve the Cauchy problem: \[ y^{\prime \prime}=x \ln x, y(1)=0, y^{\prime}(1)=0 \text {. } \]

8.1.2.30 Second order differential equations

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Problem: Find the general solution of the second order differential equation with constant coefficients: \[ y^{\prime \prime}+4 y^{\prime}=5 x^{2}-1 \text {. } \] clip2net.com

8.1.2.34 Second order differential equations

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Problem: Find the general solution of the second order differential equation with constant coefficients: \[ y^{\prime \prime}+9 y=5 e^{3 x} \text {. } \] clip2net.com

8.1.2.37 Second order differential equations

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